On Muckenhoupt-Wheeden conjecture

DOI10.1016/j.aim.2011.03.009zbMath1221.42026arXiv1008.3943OpenAlexW2068301146MaRDI QIDQ555593

Maria Carmen Reguera

Publication date: 25 July 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3943

zbMATH Keywords

singular integralweightMuckenhoupt-Wheeden conjecture

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items

Muckenhoupt-Wheeden conjectures for sparse operators, On weak weighted estimates of the martingale transform and a dyadic shift, Two-weight estimates for sparse square functions and the separated bump conjecture, A ratio inequality for nonnegative martingales and their differential subordinates, Mixed \(A_1-A_\infty\) bounds for fractional integrals, Endpoint entropy Fefferman-Stein bounds for commutators, WEIGHTED INEQUALITIES FOR MARTINGALE TRANSFORMS AND STOCHASTIC INTEGRALS, A weighted maximal inequality for differentially subordinate martingales, The Two Weight Inequality for the Hilbert Transform: A Primer, On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture, On a counterexample related to weighted weak type estimates for singular integrals, The dual conjecture of Muckenhoupt and Wheeden, On joint estimates for maximal functions and singular integrals on weighted spaces, Weighted inequalities for the dyadic square function, Sharp weak type inequalities for fractional integral operators, Borderline weak‐type estimates for singular integrals and square functions, Explicit counterexamples to the weak Muckenhoupt-Wheeden conjecture, Muckenhoupt–Wheeden conjectures in higher dimensions, Borderline weak-type estimates for sparse bilinear forms involving \(A_\infty\) maximal functions, Quadratic sparse domination and weighted estimates for non-integral square functions, The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators, Weighted weak-type inequalities for some fractional integral operators

Cites Work

• Unnamed Item
• Unnamed Item
• Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces
• The sharp weighted bound for general Calderón-Zygmund operators
• Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden
• Sharp \(A_{2}\) inequality for Haar shift operators
• \(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
• Two weight extrapolation via the maximal operator
• Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture
• Multiparameter operators and sharp weighted inequalities
• Sharp A1 Bounds for Calderón-Zygmund Operators and the Relationship with a Problem of Muckenhoupt and Wheeden
• Weighted norm inequalities for maximal functions and singular integrals
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Weighted Norm Inequalities for Singular Integral Operators
• A characterization of a two-weight norm inequality for maximal operators
• Maximal functions and the control of weighted inequalities for the fractional integral operator
• Some Maximal Inequalities
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform