The Experts below are selected from a list of 162 Experts worldwide ranked by ideXlab platform
Emmanuel Russ - One of the best experts on this subject based on the ideXlab platform.
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riesz transform for 1 leq p le 2 without gaussian heat kernel bound
Journal of Geometric Analysis, 2017Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the \(L^p\) boundedness of the Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on \(L^p\) for \(1
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Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound
Journal of Geometric Analysis, 2016Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the \(L^p\) boundedness of the Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on \(L^p\) for \(1
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riesz transform for 1 leq p le 2 without gaussian heat kernel bound
arXiv: Classical Analysis and ODEs, 2015Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the $L^p$ boundedness of Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on $L^p$ for $1 \textless{} p \textless{} 2$, which shows that Gaussian estimates of the heat kernel are not a necessary condition for this.In the particular case of Vicsek manifolds and graphs, we show that the Reverse Inequality does not hold for $1 \textless{} p \textless{} 2$. This yields a full picture of the ranges of $p\in (1,+\infty)$ for which respectively the Riesz transform is $L^p$ -bounded and the Reverse Inequality holds on $L^p$ on such manifolds and graphs. This picture is strikingly different from the Euclidean one.
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Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound
arXiv: Classical Analysis and ODEs, 2015Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the $L^p$ boundedness of Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on $L^p$ for $1 \textless{} p \textless{} 2$, which shows that Gaussian estimates of the heat kernel are not a necessary condition for this.In the particular case of Vicsek manifolds and graphs, we show that the Reverse Inequality does not hold for $1 \textless{} p \textless{} 2$. This yields a full picture of the ranges of $p\in (1,+\infty)$ for which respectively the Riesz transform is $L^p$ -bounded and the Reverse Inequality holds on $L^p$ on such manifolds and graphs. This picture is strikingly different from the Euclidean one.
Thierry Coulhon - One of the best experts on this subject based on the ideXlab platform.
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riesz transform for 1 leq p le 2 without gaussian heat kernel bound
Journal of Geometric Analysis, 2017Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the \(L^p\) boundedness of the Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on \(L^p\) for \(1
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Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound
Journal of Geometric Analysis, 2016Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the \(L^p\) boundedness of the Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on \(L^p\) for \(1
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riesz transform for 1 leq p le 2 without gaussian heat kernel bound
arXiv: Classical Analysis and ODEs, 2015Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the $L^p$ boundedness of Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on $L^p$ for $1 \textless{} p \textless{} 2$, which shows that Gaussian estimates of the heat kernel are not a necessary condition for this.In the particular case of Vicsek manifolds and graphs, we show that the Reverse Inequality does not hold for $1 \textless{} p \textless{} 2$. This yields a full picture of the ranges of $p\in (1,+\infty)$ for which respectively the Riesz transform is $L^p$ -bounded and the Reverse Inequality holds on $L^p$ on such manifolds and graphs. This picture is strikingly different from the Euclidean one.
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Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound
arXiv: Classical Analysis and ODEs, 2015Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the $L^p$ boundedness of Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on $L^p$ for $1 \textless{} p \textless{} 2$, which shows that Gaussian estimates of the heat kernel are not a necessary condition for this.In the particular case of Vicsek manifolds and graphs, we show that the Reverse Inequality does not hold for $1 \textless{} p \textless{} 2$. This yields a full picture of the ranges of $p\in (1,+\infty)$ for which respectively the Riesz transform is $L^p$ -bounded and the Reverse Inequality holds on $L^p$ on such manifolds and graphs. This picture is strikingly different from the Euclidean one.
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Riesz transform on manifolds and Poincar\'{e} inequalities
arXiv: Differential Geometry, 2005Co-Authors: Pascal Auscher, Thierry CoulhonAbstract:We study the validity of the $L^p$ Inequality for the Riesz transform when $p>2$ and of its Reverse Inequality when $p
Yang Bi-cheng - One of the best experts on this subject based on the ideXlab platform.
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A Hilbert-type Inequality with the Homogeneous Kernel of-2-order and the Reverse
Journal of Guangdong Education Institute, 2020Co-Authors: Yang Bi-chengAbstract:By estimating the weight coefficient,a Hilbert-type Inequality with the homogeneous kernel of-2-order and the equivalent form are given.The cases of Reverse Inequality are considered.
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A HILBERT-TYPE INTEGRAL Inequality WITH PARAMETERS AND A NON-HOMOGENEOUS KERNEL
Journal of South China Normal University, 2020Co-Authors: Yang Bi-chengAbstract:By using weight functions and the technique of real analysis,a new Hilbert-type integral Inequality with parameters,a non-homogeneous kernel and a best constant factor is given.The equivalent form and the Reverse Inequality are also considered.
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On a Hilbert-Type Integral Inequality with the Homogeneous Kernel of 0-Degree and the Hypergeometric Function
Mathematics in Practice and Theory, 2020Co-Authors: Yang Bi-chengAbstract:In this paper,by introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight function through the real function techniques, a definition in the whole plane of the Hilbert-type integral Inequality with a best constant factor is established,in which the best constant factor also contains Beta function and hypergeometric function.In addition,the Reverse Inequality and their corresponding equivalent forms are given.
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A Bilinear Inequality with the Kernal of -2-order Homogeneous
Journal of Xiamen University, 2020Co-Authors: Yang Bi-chengAbstract:The bilinear inequalities including Hilbert's Inequality are important in analysis and its applications.In recent years,by improving the way of weight coefficient and introducing the independent parameters,some research on the extensions and applications of this type of inequalities are developed.In this paper,by obtaining the weight coefficient,a bilinear Inequality with the kernel of-2-order homogeneous and the best constant factor is given.The equivalent form,the Reverse Inequality and some particular cases are considered.
Li Chen - One of the best experts on this subject based on the ideXlab platform.
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riesz transform for 1 leq p le 2 without gaussian heat kernel bound
Journal of Geometric Analysis, 2017Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the \(L^p\) boundedness of the Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on \(L^p\) for \(1
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Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound
Journal of Geometric Analysis, 2016Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the \(L^p\) boundedness of the Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on \(L^p\) for \(1
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riesz transform for 1 leq p le 2 without gaussian heat kernel bound
arXiv: Classical Analysis and ODEs, 2015Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the $L^p$ boundedness of Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on $L^p$ for $1 \textless{} p \textless{} 2$, which shows that Gaussian estimates of the heat kernel are not a necessary condition for this.In the particular case of Vicsek manifolds and graphs, we show that the Reverse Inequality does not hold for $1 \textless{} p \textless{} 2$. This yields a full picture of the ranges of $p\in (1,+\infty)$ for which respectively the Riesz transform is $L^p$ -bounded and the Reverse Inequality holds on $L^p$ on such manifolds and graphs. This picture is strikingly different from the Euclidean one.
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Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound
arXiv: Classical Analysis and ODEs, 2015Co-Authors: Li Chen, Thierry Coulhon, Joseph Feneuil, Emmanuel RussAbstract:We study the $L^p$ boundedness of Riesz transform as well as the Reverse Inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat kernel upper bound. We prove that the Riesz transform is then bounded on $L^p$ for $1 \textless{} p \textless{} 2$, which shows that Gaussian estimates of the heat kernel are not a necessary condition for this.In the particular case of Vicsek manifolds and graphs, we show that the Reverse Inequality does not hold for $1 \textless{} p \textless{} 2$. This yields a full picture of the ranges of $p\in (1,+\infty)$ for which respectively the Riesz transform is $L^p$ -bounded and the Reverse Inequality holds on $L^p$ on such manifolds and graphs. This picture is strikingly different from the Euclidean one.
J Da Providencia - One of the best experts on this subject based on the ideXlab platform.
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on a Reverse heinz kato furuta Inequality
Linear Algebra and its Applications, 2012Co-Authors: Natalia Bebiano, R Lemos, J Da ProvidenciaAbstract:Abstract In the set up of Minkowski spaces, the Schwarz Inequality holds with the Reverse Inequality sign. As a consequence, the same occurs with the triangle Inequality. In this note, extensions of this indefinite version of the Schwarz Inequality are presented. Namely, a Reverse Heinz–Kato–Furuta Inequality valid for timelike vectors is included and related inequalities that also hold with the Reverse sign are investigated.
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On a Reverse Heinz–Kato–Furuta Inequality
Linear Algebra and its Applications, 2012Co-Authors: Natalia Bebiano, R Lemos, J Da ProvidenciaAbstract:Abstract In the set up of Minkowski spaces, the Schwarz Inequality holds with the Reverse Inequality sign. As a consequence, the same occurs with the triangle Inequality. In this note, extensions of this indefinite version of the Schwarz Inequality are presented. Namely, a Reverse Heinz–Kato–Furuta Inequality valid for timelike vectors is included and related inequalities that also hold with the Reverse sign are investigated.