Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres

DOI10.1007/s42985-022-00203-1OpenAlexW4296941412WikidataQ115369445 ScholiaQ115369445MaRDI QIDQ2081132

Yanyan Li

Publication date: 12 October 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-022-00203-1

zbMATH Keywords

Sobolev spacesLittlewood-Paley functionsMarcinkiewicz integrals

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 (1)

Littlewood-Paley functions under sharp kernel conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new characterization of Sobolev spaces on \({\mathbb{R}^{n}}\)
• A Marcinkiewicz integral type characterization of the Sobolev space
• Littlewood-Paley equivalence and homogeneous Fourier multipliers
• Spherical square functions of Marcinkiewicz type with Riesz potentials
• Averages in the plane over convex curves and maximal operators
• Littlewood-Paley operators and Sobolev spaces
• On the Littlewood-Paley and Marcinkiewicz functions in higher dimensions
• On an Integral of Marcinkiewicz
• Problems in harmonic analysis related to curvature
• Remarks on square functions in the Littlewood-Paley theory
• Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type
• On Certain Integrals

This page was built for publication: Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres