Weighted Herz spaces and regularity results

DOI10.1155/2012/283730zbMath1258.46012OpenAlexW2143247973WikidataQ58908183 ScholiaQ58908183MaRDI QIDQ1757901

Yuxing Guo, Yin Sheng Jiang

Publication date: 7 November 2012

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

Full work available at URL: https://doi.org/10.1155/2012/283730

zbMATH Keywords

singular integral operatorweighted Herz spaceelliptic equationcommutator

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Second-order elliptic equations (35J15)

Cites Work

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• Homogeneous Herz spaces and regularity results
• Parabolic Herz spaces and their applications
• Boundedness of several operators on weighted Herz spaces
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• The continuity of commutators on Herz-type spaces
• Boundedness of some sublinear operators on Herz spaces
• Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
• Construction and analysis of some convolution algebras
• Weighted bounded mean oscillation and the Hilbert transform
• Exact solutions for a nonlinear model of dissipative media
• Boundedness of some sublinear operators in weighted Herz-type spaces

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