The Stein-Weiss theorem for the ergodic Hilbert transform

• Autorzy: Lasha Ephremidze
• Języki publikacji: EN

Abstrakty

EN

The Stein-Weiss theorem that the distribution function of the Hilbert transform of the characteristic function of E depends only on the measure of E is generalized for the ergodic Hilbert transform in the case of a one-parameter flow of measure-preserving transformations on a σ-finite measure space.

Kategorie tematyczne

• 28D10: One-parameter continuous families of measure-preserving transformations
• 42A50: Conjugate functions, conjugate series, singular integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 165
• Numer: 1
• Strony: 61-71

Daty

wydano

2004

Twórcy

autor

Lasha Ephremidze

• A. Razmadze Mathematical Institute, 1, M. Aleksidze Str., 380093 Tbilisi, Georgia

Identyfikatory

DOI

10.4064/sm165-1-5