On properties of Hilbert transform of finite complex measures

DOI10.1007/S11785-015-0480-9zbMath1348.44002OpenAlexW771921730MaRDI QIDQ5963720

Rashid A. Aliev

Publication date: 23 February 2016

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0480-9

zbMATH Keywords

Hilbert transformanalytic functions\(Q'\)-integral\(Q\)-integralfinite complex measurenontangential boundary values

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Boundary value problems in the complex plane (30E25) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (4)

TheA-integral and restricted Ahlfors–Beurling transform ⋮ Representability of Cauchy-type integrals of finite complex measures on the real axis in terms of their boundary values ⋮ Properties of the discrete Hilbert transform ⋮ The A-Integral and Restricted Riesz Transform

Cites Work

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• The Hilbert transform of a measure
• A-integrability of the boundary values of harmonic functions
• On the properties of the \(Q\)-integral
• $ N^\pm$-integrals and boundary values of Cauchy-type integrals of finite measures
• THE $ A$-INTEGRAL AND BOUNDARY VALUES OF ANALYTIC FUNCTIONS
• $ A$-integrable martingale sequences and Walsh series
• Integrals of Cauchy type
• A note on the Hilbert transform

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