96 citations · 107 across the 39 of their papers we have counts for
9 papers · 1 filter
On the end-point of Stein-Weiss inequality
Chuhan Sun, Zipeng Wang
This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for p=1. Second, by considering a family of strong fractional integral operators whose…
A multi-parameter family of Fourier integral operators
Mengmeng Dou, Zipeng Wang, Jiashu Zhang
We study a new class of Fourier integral operators defined in R^N. Their symbols are allowed to satisfy a differential inequality with certain multi-parameter characteristic. We pr…
Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales
Xinxin Chen, Yong Han, Yanqi Qiu +1
We solve a long-standing open problem of determining the Fourier dimension of the Mandelbrot canonical cascade measure (MCCM). This problem of significant interest was raised by Ma…
Regularity of Fourier integrals on product spaces
Chaoqiang Tan, Zipeng Wang
We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on R^N. We show that these operators of order -(N-1)/…
Boundedness of New Type Fourier Integral Operators with Product Structure
Chaoqiang Tan, Zipeng Wang
We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in . We establish that these operators ret…
Self-absorption of Hankel systems on monoids --a seemingly universal property
Yong Han, Yanqi Qiu, Zipeng Wang
Given any cancellative monoid , we study the Hankel system determined by its multiplication table. We prove that the Hankel system admits self-absorption property prov…