Harmonic Analysis Techniques in Several Complex Variables
Loredana Lanzani
TL;DR
This paper surveys recent advances in harmonic analysis techniques, particularly the T(1)-theorem, applied to orthogonal projections in Hardy and Bergman spaces for domains with minimal boundary regularity.
Contribution
It introduces new applications of the T(1)-theorem to analyze projections in complex analysis, expanding understanding for less regular domains.
Findings
Effective application of T(1)-theorem to Hardy spaces
Extension of projection analysis to domains with minimal boundary regularity
Enhanced understanding of harmonic analysis in several complex variables
Abstract
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.
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Taxonomy
TopicsAcoustic Wave Phenomena Research · Image and Signal Denoising Methods · Fractional Differential Equations Solutions