Two-weight \(L^p\)-\(L^q\) bounds for positive dyadic operators: unified approach to \(p \leq q\) and \(p>q\)

DOI10.1007/S11118-016-9559-9zbMath1357.42017arXiv1412.2593OpenAlexW3105674145MaRDI QIDQ334911

Timo S. Hänninen, Tuomas P. Hytönen, Kang Wei Li

Publication date: 1 November 2016

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

Full work available at URL: https://arxiv.org/abs/1412.2593

zbMATH Keywords

bilinear operatorsfractional integralsdiscrete Wolff potentialpositive dyadic operatorstesting conditionstwo weight norm inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multilinear and polynomial operators (47H60)

Related Items (12)

The \(n\) linear embedding theorem ⋮ Two weight inequalities for bilinear forms ⋮ The trilinear embedding theorem ⋮ Two-weight L^p \to L^q bounds for positive dyadic operators in the case 0<q<1\leqp<\infty ⋮ A TWO‐WEIGHT INEQUALITY BETWEEN AND ⋮ On Two Weight Estimates for Dyadic Operators ⋮ Two-weight norm inequalities for product fractional integral operators ⋮ WEIGHTED WEAK TYPE ENDPOINT ESTIMATES FOR THE COMPOSITIONS OF CALDERÓN–ZYGMUND OPERATORS ⋮ The n-linear embedding theorem for dyadic rectangles ⋮ The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator ⋮ On two-weight norm inequalities for positive dyadic operators ⋮ \(A_p - A_ \infty\) estimates for multilinear maximal and sparse operators

Cites Work

• Two weight norm inequalities for the bilinear fractional integrals
• Operator-valued dyadic shifts and the \(T(1)\) theorem
• Weighted norm inequalities for operators of potential type and fractional maximal functions
• Weighted norm inequalities for maximal operators and Pisier's theorem on factorization through \(L^{p{\infty}}\)
• A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure
• A characterization of two-weight trace inequalities for positive dyadic operators in the upper triangle case
• The A_2 theorem: Remarks and complements
• The trilinear embedding theorem
• Weighted Lebesgue and Lorentz Norm Inequalities for the Hardy Operator
• 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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