Huoxiong Wu

collaborators

3 papers

math.CA2025

The uniform quantitive weighted boundedness of fractional Marcinkiewicz integral and its commutator

Huoxiong Wu, Lin Wu

Suppose that $Ω \in L^{\infty} (S^{n - 1})$ is homogeneous of degree zero with mean value zero. Then we consider a fractional type Marcinkiewicz integral operator $$μ_{Ω,β}f(…

math.CA2025

Weighted variational inequalities for heat semigroups associated with Schrödinger operators related to critical radius functions

Yongming Wen, Huoxiong Wu

Let $L$ be a Schrödinger operator and $V_{ϱ} (e^{- t L})$ be the variation operator of heat semigroup associated to $L$ with $ϱ > 2$ . I…

math.FA2024

Orthonormal Strichartz inequalities and their applications on abstract measure spaces

Guoxia Feng, Shyam Swarup Mondal, Manli Song +1

The main objective of this paper is to extend certain fundamental inequalities from a single function to a family of orthonormal systems. In the first part of the paper, we conside…