THE CONTINUITY OF PSEUDO-DIFFERENTIAL OPERATORS ON LOCAL VARIABLE HARDY SPACES AND THEIR DUAL SPACES.

Autor: JIAN TAN, HONGBIN WANG, FANGHUI LIAO
Zdroj: Mathematical Inequalities & Applications; 2023, Vol. 26 Issue 4, p1055-1069, 17p
Abstrakt: In this paper we establish the continuity of pseudo-differential operators with symbols in S1,δ-α on local variable Hardy spaces and their dual spaces. Precisely, we show that the pseudodifferential operator maps continuously one local variable Hardy space into another one, maps continuously one local variable Carleson measure spaces into another one and maps continuously one variable Lebesgue spaces into one local variable Carleson measure spaces. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index