The trilinear embedding theorem

DOI10.4064/sm227-3-3zbMath1333.42045arXiv1404.2694OpenAlexW2963338008MaRDI QIDQ2948224

Hitoshi Tanaka

Publication date: 29 September 2015

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2694

zbMATH Keywords

discrete Wolff potentialtwo-weight trace inequalitybilinear positive dyadic operatorSawyer's checking conditiontrilinear embedding theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis in several variables (42B99) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (4)

The \(n\) linear embedding theorem ⋮ Two-weight \(L^p\)-\(L^q\) bounds for positive dyadic operators: unified approach to \(p \leq q\) and \(p>q\) ⋮ Two-weight L^p \to L^q bounds for positive dyadic operators in the case 0<q<1\leqp<\infty ⋮ The n-linear embedding theorem for dyadic rectangles

Cites Work

• Two weight norm inequalities for the bilinear fractional integrals
• The \(n\) linear embedding theorem
• Two-weight \(L^p\)-\(L^q\) bounds for positive dyadic operators: unified approach to \(p \leq q\) and \(p>q\)
• Two-weight inequality for the Hilbert transform: a real variable characterization. I
• Wolff's inequality for radially nonincreasing kernels and applications to trace inequalities
• The local trace inequality for potential type integral operators
• Positive operators and maximal operators in a filtered measure space
• A characterization of two-weight trace inequalities for positive dyadic operators in the upper triangle case
• Two-weight norm inequalities for potential type integral operators in the case p>q>0 and p>1
• A Remark on Two Weight Estimates for Positive Dyadic Operators
• 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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