The complete boundedness of singular integrals on weighted flag and product Hardy space
Jian Tan
TL;DR
This paper establishes the comprehensive boundedness of various singular integrals on weighted flag and product Hardy spaces, extending known results to more general weighted settings and mixed structures.
Contribution
It proves the boundedness of one-parameter singular integrals on weighted flag and product Hardy spaces, and of flag singular integrals on weighted product Hardy spaces, filling gaps in the theory.
Findings
Boundedness of one-parameter singular integrals on weighted flag Hardy spaces
Boundedness of one-parameter singular integrals on weighted product Hardy spaces
Boundedness of flag singular integrals on weighted product Hardy spaces
Abstract
It is known that product singular integrals are bounded on product Hardy spaces and that flag singular integrals are bounded on flag Hardy spaces. The purpose of this paper is to obtain the complete boundedness of singular integrals on weighted flag and product Hardy spaces. In particular, we prove the boundedness of one-parameter singular integrals on both weighted flag and product Hardy spaces, as well as the boundedness of flag singular integrals on weighted product Hardy spaces.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Nonlinear Differential Equations Analysis