Generalized Sobolev classes on metric measure spaces

DOI10.1007/s11006-005-0088-xzbMath1085.46022OpenAlexW2039284775MaRDI QIDQ2388203

I. A. Ivanishko

Publication date: 8 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0088-x

zbMATH Keywords

Hajlasz-Sobolev spaceSobolev spaces on metric spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Compactness of embeddings of Sobolev type on metric measure spaces ⋮ The Itô SDEs and Fokker–Planck equations with Osgood and Sobolev coefficients ⋮ Unnamed Item ⋮ Hausdorff dimension of Lebesgue sets for \(W \alpha p\) classes on metric spaces ⋮ The Luzin approximation of functions from classes \(W_\alpha ^p\) on metric spaces with measure ⋮ Hausdorff measures and Lebesgue points for the Sobolev classes \(W_{\alpha }^p\), \(\alpha > 0\), on spaces of homogeneous type ⋮ Maximal Functions Measuring Smoothness ⋮ Estimates of \(L^p\)-oscillations of functions for \(p>0\)

Cites Work

• Lectures on analysis on metric spaces
• Maximal functions measuring smoothness
• Extensions of Hardy spaces and their use in analysis
• Estimates of maximal functions measuring local smoothness

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