Pointwise Variable Anisotropic Function Spaces On Rn

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Pointwise Variable Anisotropic Function Spaces on Rn

Author: Shai Dekel
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2022-04-04
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.
Pointwise Variable Anisotropic Function Spaces on Rn

Author: Shai Dekel
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2022-04-04
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.
Boundary Value Problems for Second-Order Finite Difference Equations and Systems

Author: Johnny Henderson
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2023-01-30
This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear difference equations. Coverage includes second-order finite difference equations and systems of second-order finite difference equations subject to diverse multi-point boundary conditions, and various methods to study the existence of positive solutions for these problems.