Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of $R^n$

Pavel Shvartsman

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arXiv · math/0601682

Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of $R^n$

Pavel Shvartsman

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Abstract

We give an intrinsic characterization of the restrictions of Sobolev, Triebel-Lizorkin and Besov spaces to regular subsets of $R^n$ via sharp maximal functions and local approximations.

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BibTeX RIS

Pavel Shvartsman. 2006-01-27. Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of $R^n$. https://arxiv.org/abs/math/0601682

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