Volume 57, Issue 1
Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces

Tengfei Bai & Jingshi Xu

J. Math. Study, 57 (2024), pp. 84-100.

Published online: 2024-03

Export citation
  • 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.

  • AMS Subject Headings

35S05, 46E30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JMS-57-84, author = {Bai , Tengfei and Xu , Jingshi}, title = {Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {1}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n1.24.05}, url = {http://global-sci.org/intro/article_detail/jms/22989.html} }
TY - JOUR T1 - Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces AU - Bai , Tengfei AU - Xu , Jingshi JO - Journal of Mathematical Study VL - 1 SP - 84 EP - 100 PY - 2024 DA - 2024/03 SN - 57 DO - http://doi.org/10.4208/jms.v57n1.24.05 UR - https://global-sci.org/intro/article_detail/jms/22989.html KW - Pseudo-differential operator, matrix weight, Besov space, Triebel-Lizorkin space. AB -

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.

Bai , Tengfei and Xu , Jingshi. (2024). Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces. Journal of Mathematical Study. 57 (1). 84-100. doi:10.4208/jms.v57n1.24.05
Copy to clipboard
The citation has been copied to your clipboard