Spectra of Integration Operators and Weighted Square Functions
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3857846
- author
- Aleman, Alexandru LU and Angel Pelaez, Jose
- organization
- publishing date
- 2012
- 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}}, }