Estimates of maximal functions measuring local smoothness

DOI10.1007/BF02908442zbMath0963.46018MaRDI QIDQ5928593

Viktor I. Kolyada

Publication date: 1 April 2001

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

maximal functionembedding theoremLorentz spacemodulus of continuityOrlicz space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (10)

Compactness of embeddings of Sobolev type on metric measure spaces ⋮ Lp -moduli of continuity of sections of functions ⋮ Generalized Sobolev classes on metric measure spaces ⋮ New estimates for the maximal functions and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Luzin approximation of functions from classes \(W_\alpha ^p\) on metric spaces with measure ⋮ Maximal Functions Measuring Smoothness ⋮ Estimates of \(L^p\)-oscillations of functions for \(p>0\)

Cites Work

• On relations between moduli of continuity in different metrics
• Maximal functions measuring smoothness
• Sobolev type inequalities for p>0
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