The \(n\) linear embedding theorem

DOI10.1007/S11118-015-9531-0zbMath1355.42025arXiv1501.02304OpenAlexW2090809085MaRDI QIDQ283445

Hitoshi Tanaka

Publication date: 13 May 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02304

zbMATH Keywords

\(n\)-linear embedding theorem\(n\)-weight discrete Wolff potentialmultilinear positive dyadic operatormultilinear Sawyer testing condition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Harmonic analysis in several variables (42B99) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (5)

The trilinear embedding theorem ⋮ Two-weight L^p \to L^q bounds for positive dyadic operators in the case 0<q<1\leqp<\infty ⋮ Two-weight norm inequalities for product fractional integral operators ⋮ The n-linear embedding theorem for dyadic rectangles ⋮ \(A_p - A_ \infty\) estimates for multilinear maximal and sparse operators

Cites Work

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• Two-weight norm inequalities for potential type integral operators in the case p>q>0 and p>1
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• The trilinear embedding theorem
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• On the boundedness of discrete Wolff potentials
• ON $L^p$–$L^q$ TRACE INEQUALITIES
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• The Bellman functions and two-weight inequalities for Haar multipliers
• A characterization of a two-weight norm inequality for maximal operators
• Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels

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