Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of Rⁿ

2006/01/27 by Pavel Shvartsman, Shvartsman, Pavel
Mathematics · #46E35 #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.math/0601682

openalex publication_date 2006/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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