Two-weight inequalities for the Hilbert transform of monotone functions

DOI10.1134/S1064562411020359zbMath1253.26034MaRDI QIDQ656301

Sergey Yu. Tikhonov, Vladimir D. Stepanov

Publication date: 17 January 2012

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

zbMATH Keywords

Hilbert transformweightmonotone functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Boundedness of quasilinear integral operators of iterated type with Oinarov's kernel on the cone of monotone functions ⋮ ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM ⋮ Properties of the discrete Hilbert transform ⋮ Boundedness of discrete Hilbert transform on discrete Morrey spaces ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

Cites Work

• Weighted Paley-Wiener theorem on the Hilbert transform
• Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture
• Some more theorems concerning Fourier series and Fourier power series
• Some Theorems on Odd and Even Functions
• Inequalities with Weights for Discrete Hilbert Transforms^✝

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