The Experts below are selected from a list of 80451 Experts worldwide ranked by ideXlab platform
Vagif S Guliyev - One of the best experts on this subject based on the ideXlab platform.
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Boundedness of the fractional maximal operator in local morrey type spaces
Complex Variables and Elliptic Equations, 2010Co-Authors: Viktor I Burenkov, Amiran Gogatishvili, Vagif S Guliyev, Ch R MustafayevAbstract:The problem of Boundedness of the fractional maximal operator M α, 0 ≤ α < n, in general local Morrey-type spaces is reduced to the problem of Boundedness of the supremal operator in weighted L p -spaces on the cone of non-negative non-decreasing functions. This allows obtaining sharp sufficient conditions for Boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.
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necessary and sufficient conditions for the Boundedness of the riesz potential in local morrey type spaces
Potential Analysis, 2009Co-Authors: Viktor I Burenkov, Vagif S GuliyevAbstract:The problem of the Boundedness of the Riesz potential Iα, 0 < α < n, in local Morrey-type spaces is reduced to the Boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing functions. This allows obtaining sufficient conditions for the Boundedness in local Morrey-type spaces for all admissible values of the parameters. Moreover, for a certain range of the parameters, these sufficient conditions coincide with the necessary ones.
Viktor I Burenkov - One of the best experts on this subject based on the ideXlab platform.
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Boundedness of the fractional maximal operator in local morrey type spaces
Complex Variables and Elliptic Equations, 2010Co-Authors: Viktor I Burenkov, Amiran Gogatishvili, Vagif S Guliyev, Ch R MustafayevAbstract:The problem of Boundedness of the fractional maximal operator M α, 0 ≤ α < n, in general local Morrey-type spaces is reduced to the problem of Boundedness of the supremal operator in weighted L p -spaces on the cone of non-negative non-decreasing functions. This allows obtaining sharp sufficient conditions for Boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.
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necessary and sufficient conditions for the Boundedness of the riesz potential in local morrey type spaces
Potential Analysis, 2009Co-Authors: Viktor I Burenkov, Vagif S GuliyevAbstract:The problem of the Boundedness of the Riesz potential Iα, 0 < α < n, in local Morrey-type spaces is reduced to the Boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing functions. This allows obtaining sufficient conditions for the Boundedness in local Morrey-type spaces for all admissible values of the parameters. Moreover, for a certain range of the parameters, these sufficient conditions coincide with the necessary ones.
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necessary and sufficient conditions for Boundedness of the maximal operator in local morrey type spaces
Studia Mathematica, 2004Co-Authors: Viktor I Burenkov, Huseyn V GuliyevAbstract:It is proved that the Boundedness of the maximal operator M from a Lebesgue space L-p1 (R-n) to a general local Morrey-type space LMp2 theta,w(R-n) is equivalent to the Boundedness of the embedding operator from L-p1(R-n) to LMp2 theta,(w)(R-n) and in its turn to the Boundedness of the Hardy operator from L-p1/p2 (0,infinity) to the weighted Lebesgue space L-theta/p2,L-v (0,infinity) for a certain weight function v determined by the functional parameter w. This allows obtaining necessary and sufficient conditions on the function w ensuring the Boundedness of M from L-p1 (R-n) to LMp2 theta,w(R-n) for any 0 1. These conditions with p(1) = p(2) = 1 are necessary and sufficient for the Boundedness of M from L-1(R-n) to the weak local Morreytype space WLM1 theta,w(R-n).
Lin Tang - One of the best experts on this subject based on the ideXlab platform.
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Boundedness for the commutator of convolution operator
Journal of Mathematical Analysis and Applications, 2003Co-Authors: Lin TangAbstract:A Boundedness result is established for sublinear operators on homogeneous Herz spaces. As applications, a new result about the weighted Boundedness of commutators of convolution operators is obtained.
Martin Corless - One of the best experts on this subject based on the ideXlab platform.
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Quadratic Boundedness of nonlinear dynamical systems
Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995Co-Authors: M.l. Brockman, Martin CorlessAbstract:The concept of quadratic Boundedness for an uncertain nonlinear dynamical system is defined and a sufficient condition for quadratic Boundedness of a class of nonlinear systems which have an uncertain additive bounded disturbance input is then given. A relationship between quadratic Boundedness of an uncertain system and quadratic stability of the system without disturbance is also developed. The results are applied to the rotational motion of a spacecraft subject to bounded disturbance torques.
M. D. Voisei - One of the best experts on this subject based on the ideXlab platform.
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The Minimal Context for Local Boundedness in Topological Vector Spaces
Annals of the Alexandru Ioan Cuza University - Mathematics, 2013Co-Authors: M. D. VoiseiAbstract:Abstract The local Boundedness of classes of operators is analyzed on different subsets directly related to the Fitzpatrick function associated to an operator. Characterizations of the topological vector spaces for which that local Boundedness holds is given in terms of the uniform Boundedness principle. For example the local Boundedness of a maximal monotone operator on the algebraic interior of its domain convex hull is a characteristic of barreled locally convex spaces.
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The minimal context for local Boundedness in topological vector spaces
arXiv: Functional Analysis, 2012Co-Authors: M. D. VoiseiAbstract:The local Boundedness of classes of operators is analyzed on different subsets directly related to their Fitzpatrick functions and characterizations of the topological vector spaces for which that local Boundedness holds is given in terms of the uniform Boundedness principle. For example the local Boundedness of a maximal monotone operator on the algebraic interior of its domain convex hull is a characteristic of barreled locally convex spaces.
