Harmonic Analysis Techniques in Several Complex Variables

Harmonic Analysis Techniques in Several Complex Variables

We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions for domains with minimal boundary regularity.

Bibliographic Details
Main Author: Loredana Lanzani
Format: Article
Language:English
Published: University of Bologna 2014-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Cauchy Integral
T(1)-theorem
space of homogeneous type
Leray-Levi measure
Szegő projection
Bergman projection
Hardy space
Bergman space
Lebesgue space
pseudoconvex domain
minimal smoothness
Online Access:http://mathematicalanalysis.unibo.it/article/view/4767
Description
Summary:We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions for domains with minimal boundary regularity.
ISSN:2240-2829

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