Non-Regular Pseudo-Differential Operators on MatrixWeighted Besov-Triebel-Lizorkin Spaces

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 Hormander classes.

Keywords

Pseudo-differential operator / matrix weight / Besov space / Triebel-Lizorkin space

Acknowledgments

The authors would like to thank the referees for their careful reading and comments. This work was supported by the National Natural Science Foundation of China (Grant No. 12161022).

References

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