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The continuity of pseudo-differential operators on weighted local Hardy spaces

✍ Scribed by Lee, Ming-Yi; Lin, Chin-Cheng; Lin, Ying-Chieh

Book ID
115465656
Publisher
Institute of Mathematics of the Polish Academy of Sciences
Year
2010
Tongue
English
Weight
51 KB
Volume
198
Category
Article
ISSN
0039-3223

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## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__Ξ²__). For any bounded weight sequence __Ξ²__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is well‐known for the classical space __H__^2^. In the case