Littlewood-Paley operators and Sobolev spaces

zbMath1348.46042MaRDI QIDQ892093

Shuichi Sato

Publication date: 18 November 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1446819299

zbMATH Keywords

Sobolev spaceweighted estimatesweighted Hardy spaceRiesz potentialsLittlewood-Paley operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type ⋮ Generalized Littlewood–Paley characterizations of fractional Sobolev spaces ⋮ Characterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz type ⋮ Littlewood-Paley equivalence and homogeneous Fourier multipliers ⋮ Spherical square functions of Marcinkiewicz type with Riesz potentials ⋮ Littlewood-Paley functions and Sobolev spaces ⋮ Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages ⋮ Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres

Cites Work

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• Some Weighted Weak Type Estimates for Rough Operators
• Spherical Summability and a Vector-Valued Inequality
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• On Certain Integrals

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