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Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces

Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces

Year:    2024

Author:    Tengfei Bai, Jingshi Xu

Journal of Mathematical Study, Vol. 57 (2024), Iss. 1 : pp. 84–100

Abstract

In this paper we obtain the boundedness of non-regular pseudo-differential operators with symbols in Besov spaces on matrix-weighted Besov-Triebel-Lizorkin spaces. These symbols include the classical Hörmander classes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v57n1.24.05

Journal of Mathematical Study, Vol. 57 (2024), Iss. 1 : pp. 84–100

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Pseudo-differential operator matrix weight Besov space Triebel-Lizorkin space.

Author Details

Tengfei Bai

Jingshi Xu

  1. Matrix-weighted Besov-type and Triebel–Lizorkin-type spaces I: Ap-dimensions of matrix weights and φ-transform characterizations

    Bu, Fan

    Hytönen, Tuomas

    Yang, Dachun

    Yuan, Wen

    Mathematische Annalen, Vol. 391 (2025), Iss. 4 P.6105

    https://doi.org/10.1007/s00208-024-03059-5 [Citations: 0]