HILBERT TRANSFORM, TOEPLITZ-OPERATORS AND HANKEL-OPERATORS, AND INVARIANT A(INFINITY) WEIGHTS

Authors
TREIL S VOLBERG A ZHENG DC
Citation
S. Treil et al., HILBERT TRANSFORM, TOEPLITZ-OPERATORS AND HANKEL-OPERATORS, AND INVARIANT A(INFINITY) WEIGHTS, Revista matematica iberoamericana, 13(2), 1997, pp. 319-360
Citations number
27
Journal title
Revista matematica iberoamericana → ACNP
ISSN journal
02132230
Volume
13
Issue
2
Year of publication
1997
Pages
319 - 360
Database
ISI
SICI code
0213-2230(1997)13:2<319:HTTAHA>2.0.ZU;2-0
Abstract
In this paper, several sufficient conditions for boundedness of the Hi lbert transform between two weighted L-p-spaces are obtained. Invarian t A(infinity) weights are introduced. Several characterizations of inv ariant A(infinity) weights are given. We also obtain some sufficient c onditions for products of two Toeplitz operators or Hankel operators t o be bounded on the Hardy space of the unit circle using Orlicz spaces and Lorentz spaces.