Maximal Functions Measuring Smoothness

DOI10.1007/978-1-4614-4565-4_18zbMath1272.42001OpenAlexW2207417770MaRDI QIDQ2840653

V. G. Krotov

Publication date: 23 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4565-4_18

zbMATH Keywords

maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

Related Items (2)

Unnamed Item ⋮ Estimates of \(L^p\)-oscillations of functions for \(p>0\)

Cites Work

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• Riesz' compactness criterion for the space of measurable functions
• The rate of convergence of Steklov means on metric measure spaces and Hausdorff dimension
• New characterizations of Hajłasz-Sobolev spaces on metric spaces
• Compactness of embeddings of Sobolev type on metric measure 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
• Hölder quasicontinuity of Sobolev functions on metric spaces
• Lebesgue points for Sobolev functions on metric spaces.
• Haar wavelets of higher order on fractals and regularity of functions.
• Lectures on analysis on metric spaces
• Definitions of Sobolev classes on metric spaces
• A note on Hajłasz-Sobolev spaces on fractals
• Sobolev spaces on an arbitrary metric space
• Generalized Sobolev classes on metric measure spaces
• Sobolev-Poincaré-type inequality on metric spaces in terms of sharp-maximal functions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• \(H^p\) spaces of several variables
• Estimates for the Exceptional Lebesgue Sets of Functions from Sobolev Classes
• Quantitative form of the Luzin C-property
• On functions arising as potentials on spaces of homogeneous type
• Maximal functions measuring smoothness
• Boundary Tangential Convergence on Spaces of Homogeneous Type
• APPROXIMATION PROPERTIES OF SUMMABLE FUNCTIONS ON SETS OF FULL MEASURE
• Sobolev type inequalities for p>0
• Sobolev met Poincaré
• Criteria for compactness inL^p-spaces,p≥ 0
• Estimates for singular integral operators in terms of maximal functions
• Estimates of maximal functions measuring local smoothness

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