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Spectra of Integration Operators and Weighted Square Functions

Aleman, Alexandru LU and Angel Pelaez, Jose (2012) In Indiana University Mathematics Journal 61(2). p.775-793
Abstract
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.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hardy spaces, square functions, A(infinity)-weights, integration, operators, spectra
in
Indiana University Mathematics Journal
volume
61
issue
2
pages
775 - 793
publisher
Indiana University
external identifiers
  • wos:000317876300012
  • scopus:84877698238
ISSN
0022-2518
language
English
LU publication?
yes
id
150bd0fd-4e2b-4989-837f-8260060a56fc (old id 3857846)
date added to LUP
2016-04-01 10:42:09
date last changed
2022-04-04 20:33:28
@article{150bd0fd-4e2b-4989-837f-8260060a56fc,
  abstract     = {{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.}},
  author       = {{Aleman, Alexandru and Angel Pelaez, Jose}},
  issn         = {{0022-2518}},
  keywords     = {{Hardy spaces; square functions; A(infinity)-weights; integration; operators; spectra}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{775--793}},
  publisher    = {{Indiana University}},
  series       = {{Indiana University Mathematics Journal}},
  title        = {{Spectra of Integration Operators and Weighted Square Functions}},
  volume       = {{61}},
  year         = {{2012}},
}