On the generalization of the Stein–Weiss theorem for the ergodic Hilbert transform

DOI10.4064/SM155-1-5zbMATH Open1016.28012OpenAlexW2032870188MaRDI QIDQ4790235

Lasha Ephremidze

Publication date: 28 January 2003

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm155-1-5

zbMATH Keywords

flowsergodic Hilbert transformergodic measure preserving transformationsStein-Weiss theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Conjugate functions, conjugate series, singular integrals (42A50) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (2)

On a conjecture of E. M. Stein on the Hilbert transform on vector fields ⋮ On the Steinhaus property and ergodicity via the measure-theoretic density of sets

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