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Spectra of Integration Operators and Weighted Square Functions

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Author

Summary, in English

Motivated by the study of the spectrum of integration operators T(g)f(z) = integral(z)(0) f(xi)g'(xi) d xi, acting on the Hardy spaces H-p, we prove weighted versions of the classical estimates due to Fefferman-Stein and Littlewood-Paley which express the H-p-norm of an analytic function with help of its derivative.

Publishing year

2012

Language

English

Pages

775-793

Publication/Series

Indiana University Mathematics Journal

Volume

61

Issue

2

Document type

Journal article

Publisher

Indiana University

Topic

  • Mathematics

Keywords

  • Hardy spaces
  • square functions
  • A(infinity)-weights
  • integration
  • operators
  • spectra

Status

Published

ISBN/ISSN/Other

  • ISSN: 0022-2518