Work

Weighted Triebel-Lizorkin spaces with variable smoothness and integrability

Year: 2025

Type: article

Abstract: In this paper, we introduce the weighted Triebel-Lizorkin spaces of variable integral, smooth and summation exponents with variable Muckenhoupt weights. To make these spaces definite, we provide the weighted vector-valued convolution inequality and the Fourier multiplier theorem on these spaces. We then obtain a characterization of these spaces via approximation by analytic functions. Furthermore, we obtain embeddings, the lifting property, and duality of these spaces, respectively. Finally, we study the real interpolation in these spaces.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2025.129578

Authors: Shengrong Wang, Pengfei Guo, Jingshi Xu

Institutions: Hainan Normal University, Guilin University of Electronic Technology

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Natural Science Foundation of China, Science and Technology Major Project of Guangxi