Weighted Weak (1,1) estimates for one-sided oscillatory singular integrals
Zunwei Fu, Shanzhen Lu, Shuichi Sato, Shaoguang Shi
TL;DR
This paper investigates weighted weak (1,1) inequalities for a class of one-sided oscillatory singular integrals with smooth kernels within Muckenhoupt weight classes.
Contribution
It introduces new weighted weak (1,1) estimates for one-sided oscillatory singular integrals, expanding understanding of their behavior under Muckenhoupt weights.
Findings
Established weighted weak (1,1) inequalities for the integrals.
Extended classical results to one-sided oscillatory singular integrals.
Provided conditions on weights for boundedness.
Abstract
We consider one-sided weight classes of Muckenhoupt type and study the weighted weak type (1,1) norm inequalities of a class of one-sided oscillatory singular integrals with smooth kernel.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Advanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods