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Kwang-soon Park - One of the best experts on this subject based on the ideXlab platform.

Antti V Vahakangas - One of the best experts on this subject based on the ideXlab platform.

  • self improvement of weighted Pointwise inequalities on open sets
    Journal of Functional Analysis, 2020
    Co-Authors: Sylvester Erikssonbique, Juha Lehrback, Antti V Vahakangas
    Abstract:

    Abstract We prove a general self-improvement property for a family of weighted Pointwise inequalities on open sets, including Pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of p-Poincare and p-Hardy weights for an open set Ω ⊂ X , where X is a metric measure space. We also apply the self-improvement of weighted Pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.

  • self improvement of weighted Pointwise inequalities on open sets
    arXiv: Classical Analysis and ODEs, 2020
    Co-Authors: Sylvester Erikssonbique, Juha Lehrback, Antti V Vahakangas
    Abstract:

    We prove a general self-improvement property for a family of weighted Pointwise inequalities on open sets, including Pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of $p$-Poincare and $p$-Hardy weights for an open set $\Omega\subset X$, where $X$ is a metric measure space. We also apply the self-improvement of weighted Pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.

Fu-gui Shi - One of the best experts on this subject based on the ideXlab platform.

  • Pointwise PSEUDO-METRIC ON THE L-REAL LINE
    Iranian Journal of Fuzzy Systems, 2005
    Co-Authors: Fu-gui Shi
    Abstract:

    In this paper, a Pointwise pseudo-metric function on the L-real line is constructed. It is proved that the topology induced by this Pointwise pseudo-metric is the usual topology.

  • The category of Pointwise S-proximity spaces
    Fuzzy Sets and Systems, 2005
    Co-Authors: Fu-gui Shi
    Abstract:

    First it is proved that the category of Pointwise quasi-uniform spaces and Pointwise quasi-uniformly continuous morphisms is topological. Then the concept of Pointwise S-quasi-proximity on lattice-valued fuzzy set theory is introduced in such a way as to be compatible with Pointwise quasi-uniformity and Pointwise p.q. metric. Each co-topology can be induced by a Pointwise S-quasi-proximity. When a valued lattice is a completely distributive lattices equipped with an order-reversing involution, the concept of Pointwise S-proximity can be defined by means of Pointwise S-quasi-proximity. The relation between Pointwise S-(quasi-)proximities and Pointwise (quasi-)uniformities is discussed. It is proved that the category of Pointwise S-quasi-proximity spaces is isomorphic to the category of totally bounded Pointwise quasi-uniform spaces. The category of Pointwise S-proximity spaces is isomorphic to a subcategory of totally bounded Pointwise uniform spaces. Hence they are topological.

  • Pointwise pseudo-metrics in L -fuzzy set theory
    Fuzzy Sets and Systems, 2001
    Co-Authors: Fu-gui Shi
    Abstract:

    A theory of Pointwise (pseudo-)metrics is based on L-fuzzy sets. A Pointwise pseudo-metric is characterized by its remote-neighborhood maps. Many theorems in general topology are generalized on L-fuzzy sets. The L-fuzzy real line and the L-fuzzy unit interval are Pointwise pseudo-metrizable. A pseudo-metrization theorem of Pointwise uniformity is obtained. Relations between Erceg's p. metric (pseudometric) and Pointwise p. metric are discussed.

  • Pointwise uniformities and Pointwise metrics on fuzzy lattices
    Chinese Science Bulletin, 1997
    Co-Authors: Fu-gui Shi
    Abstract:

    UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointless work.They cannot directly reflect the characteristics ofPointwise topology.In this note we shall set up a theory of Pointwise uniformity and a theoryof Pointwise metric on fuzzy lattices.

A Sharma - One of the best experts on this subject based on the ideXlab platform.

  • Pointwise pseudo slant warped product submanifolds in a kahler manifold
    Mediterranean Journal of Mathematics, 2017
    Co-Authors: S K Srivastava, A Sharma
    Abstract:

    The purpose of this paper is to study the Pointwise pseudo-slant warped product submanifolds of a Kahler manifold \(\widetilde{M}\). We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a Pointwise pseudo-slant submanifolds of \(\widetilde{M}\). The necessary and sufficient conditions for isometrically immersed Pointwise pseudo-slant submanifolds of \(\widetilde{M}\) to be a Pointwise pseudo-slant warped product and a locally Riemannian product are obtained. Further, we classify Pointwise pseudo-slant warped product submanifolds of \(\widetilde{M}\) by developing the sharp inequalities in terms of second fundamental form and wrapping function.

  • geometry of Pointwise pseudo slant warped product submanifolds in a k ahler manifold
    arXiv: Differential Geometry, 2015
    Co-Authors: S K Srivastava, A Sharma
    Abstract:

    The purpose of this paper is to study Pointwise pseudo-slant warped product submanifolds of a Kahler manifold $\widetilde{M}$. We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a Pointwise pseudo-slant submanifold of $\widetilde{M}$. The necessary and sufficient conditions for isometrically immersed Pointwise pseudo-slant submanfold of $\widetilde{M}$ to be a Pointwise pseudo-slant warped product and a locally Riemannian product are obtained.

  • Pointwise pseudo-slant submanifold of a para-Kaehler manifold
    2015
    Co-Authors: S K Srivastava, A Sharma
    Abstract:

    The purpose of this paper is to study Pointwise pseudo-slant warped product submanifolds of a Kahler manifold $\widetilde{M}$. We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a Pointwise pseudo-slant submanifold of $\widetilde{M}$. The necessary and sufficient conditions for isometrically immersed Pointwise pseudo-slant submanfold of $\widetilde{M}$ to be a Pointwise pseudo-slant warped product and a locally Riemannian product are obtained.

Sylvester Erikssonbique - One of the best experts on this subject based on the ideXlab platform.

  • self improvement of weighted Pointwise inequalities on open sets
    Journal of Functional Analysis, 2020
    Co-Authors: Sylvester Erikssonbique, Juha Lehrback, Antti V Vahakangas
    Abstract:

    Abstract We prove a general self-improvement property for a family of weighted Pointwise inequalities on open sets, including Pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of p-Poincare and p-Hardy weights for an open set Ω ⊂ X , where X is a metric measure space. We also apply the self-improvement of weighted Pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.

  • self improvement of weighted Pointwise inequalities on open sets
    arXiv: Classical Analysis and ODEs, 2020
    Co-Authors: Sylvester Erikssonbique, Juha Lehrback, Antti V Vahakangas
    Abstract:

    We prove a general self-improvement property for a family of weighted Pointwise inequalities on open sets, including Pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of $p$-Poincare and $p$-Hardy weights for an open set $\Omega\subset X$, where $X$ is a metric measure space. We also apply the self-improvement of weighted Pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.