Hilbert transform, Toeplitz operators and Hankel operators, and invariant \(A_\infty\) weights

DOI10.4171/RMI/223zbMath0896.42009MaRDI QIDQ1382009

Alexander Volberg, S. R. Treil', DeChao Zheng

Publication date: 1 October 1998

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39541

zbMATH Keywords

maximal functionHilbert transformHankel operatorToeplitz operatorweighted spacesYoung functionsinvariant \(A_\infty\)-weights

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (15)

The Bellman functions and two-weight inequalities for Haar multipliers ⋮ Composition of dyadic paraproducts ⋮ Entropy conditions in two weight inequalities for singular integral operators ⋮ Products of Toeplitz operators on the Bergman spaces $A_\alpha ^2$ ⋮ Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials ⋮ Matrix $A_p$ weights via $S$-functions ⋮ Vector $A_2$ weights and a Hardy-Littlewood maximal function ⋮ Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators ⋮ Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture ⋮ Uncertainty principle estimates for vector fields ⋮ Paraproducts and Hankel operators of Schatten class via \(p\)-John--Nirenberg theorem ⋮ Muckenhoupt–Wheeden conjectures in higher dimensions ⋮ Unnamed Item ⋮ Toeplitz and Hankel products on Bergman spaces of the unit ball ⋮ Invertible Toeplitz products

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