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

• Autorzy: Ming-Yi Lee , Chin-Cheng Lin , Ying-Chieh Lin
• Języki publikacji: EN

Abstrakty

EN

We first show that a linear operator which is bounded on $L²_{w}$ with w ∈ A₁ can be extended to a bounded operator on the weighted local Hardy space $h¹_{w}$ if and only if this operator is uniformly bounded on all $h¹_{w}$-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to $h¹_{w}$.

Kategorie tematyczne

• 47G30: Pseudodifferential operators
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 198
• Numer: 1
• Strony: 69-77

Daty

wydano

2010

Twórcy

autor

Ming-Yi Lee

• Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China

autor

Chin-Cheng Lin

• Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China

autor

Ying-Chieh Lin

• Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China

Identyfikatory

DOI

10.4064/sm198-1-4