The rate of convergence of Steklov means on metric measure spaces and Hausdorff dimension

DOI10.1134/S0001434611010202zbMath1243.42032OpenAlexW2083806600MaRDI QIDQ650398

V. G. Krotov, M. A. Prokhorovich

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0001434611010202

zbMATH Keywords

Hausdorff dimensionBorel measuremetric measure spaceHölder classSteklov mean

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

Subdifferentials of the first and second orders for Lipschitz functions ⋮ Fine properties of functions from Hajłasz-Sobolev classes \(M_\alpha^p\), \(p > 0\). I: Lebesgue points ⋮ Fine properties of functions from Hajłasz-Sobolev classes \(M_\alpha^p\), \(p > 0\). II: Lusin's approximation ⋮ Generalized Hajłasz-Sobolev classes on ultrametric measure spaces with doubling condition ⋮ Maximal Functions Measuring Smoothness

Cites Work

• New characterizations of Hajłasz-Sobolev spaces on metric spaces
• Hölder quasicontinuity of Sobolev functions on metric spaces
• Haar wavelets of higher order on fractals and regularity of functions.
• A note on Hajłasz-Sobolev spaces on fractals
• Maximal functions measuring smoothness
• Sobolev type inequalities for p>0
• Estimates for singular integral operators in terms of maximal functions

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