Tohoku Mathematical Journal
2007

September
SECOND SERIES VOL. 59, NO. 3

Tohoku Math. J.
59 (2007), 323-339

Title NON-REGULAR PSEUDO-DIFFERENTIAL OPERATORS ON THE WEIGHTED TRIEBEL-LIZORKIN SPACES

Author Shuichi Sato

(Received March 28, 2005, revised May 14, 2007)
Abstract. We consider certain non-regular pseudo-differential operators and study the question of their boundedness on the weighted Triebel-Lizorkin and Besov spaces.

2000 Mathematics Subject Classification. Primary 47G30; Secondary 35S05, 42B20, 42B25.

Key words and phrases. Pseudo-differential operator, Triebel-Lizorkin space, Besov space.

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