The generalization of the Stein-Weiss theorem for the ergodic Hilbert transform

zbMATH Open1192.28007MaRDI QIDQ985424

Lasha Ephremidze

Publication date: 5 August 2010

Published in: Real Analysis Exchange (Search for Journal in Brave)

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory of linear operators (47A35) Linear operators on function spaces (general) (47B38) Conjugate functions, conjugate series, singular integrals (42A50) One-parameter continuous families of measure-preserving transformations (28D10)

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On a conjecture of E. M. Stein on the Hilbert transform on vector fields

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