On Anisotropic $$$BV$$$-Spaces

P. Kogut

doi:10.15421/242503

On Anisotropic $$$BV$$$-Spaces

P. Kogut (Oles Honchar Dnipro National University), https://orcid.org/0000-0003-1593-0510

Abstract

This paper is devoted to the study of a new class of functional spaces, the so-called anisotropic $$$BV$$$-spaces with a degenerate weight. We give a precise definition of such spaces and show that they can be viewed as a natural generalization of the standard space of functions with bounded variation.

Keywords

bounded variation; anisotropic space; BV space; generalized weighted gradient

MSC 2020

46E30; 46F99; 28A75

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