Essential norm estimates for multilinear singular and fractional integrals

DOI10.14708/CM.V59I1-2.6523zbMath1439.42023OpenAlexW3005756965MaRDI QIDQ5221249

Alexander Meskhi

Publication date: 25 March 2020

Published in: Commentationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14708/cm.v59i1-2.6523

zbMATH Keywords

measure of noncompactnessBanach function latticesweighted inequalitiesmultilinear fractional integralsmultilinear Hilbert and Riesz transforms

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) Function spaces arising in harmonic analysis (42B35) Interpolation between normed linear spaces (46B70)

Cites Work

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• Two-weight inequality for the Hilbert transform: a real variable characterization. I
• Nonlinear potential theory on metric spaces
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
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• The measure of noncompactness of multilinear operators
• Semigroups of operators and measures of noncompactness
• The two-weight inequality for the Hilbert transform with general measures
• Weighted Norm Inequalities for Fractional Integrals
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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