Weighted Norm Inequalities for One-sided Oscillatory Integral Operators
Zunwei Fu, Shaoguang Shi, Shanzhen Lu
TL;DR
This paper establishes weighted norm inequalities for one-sided oscillatory integral operators using interpolation techniques with measure changes.
Contribution
It introduces new weighted norm inequalities for these operators, advancing understanding of their boundedness properties.
Findings
Proved weighted inequalities for one-sided oscillatory integrals
Developed interpolation methods with measure change
Enhanced theoretical framework for oscillatory operators
Abstract
The purpose of this paper is to establish the weighted norm inequalities of one-sided oscillatory integral operators by the aid of interpolation of operators with change of measures.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Holomorphic and Operator Theory