The boundedness of Marcinkiewicz integral associated with Schrödinger operator and its commutator

DOI10.1155/2014/402713zbMath1293.47045OpenAlexW1977781554WikidataQ59057459 ScholiaQ59057459MaRDI QIDQ2249968

Dan Zou, Dong Xiang Chen

Publication date: 4 July 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/402713

zbMATH Keywords

Schrödinger operatorMarcinkiewicz integral\((H^1_L,L^1)\)-boundedness\((L^\infty, BMO_L)\)-boundedness\(BMO_L\)-boundedness

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10)

Related Items (4)

Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces ⋮ The boundedness of Marcinkiewicz integrals associated with Schrödinger operator on Morrey spaces ⋮ On weighted boundedness and compactness of commutators of Marcinkiewicz integral associated with Schrödinger operators ⋮ Boundedness of high order commutators of Marcinkiewicz integrals associated with Schrödinger operators

Cites Work

• Commutators of Riesz transforms related to Schrödinger operators
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• \(H^p\) spaces of several variables
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Marcinkiewicz integral on Hardy spaces

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