Geodesic
The continuity of pseudo-differential operators on weighted local Hardy spaces
Ming-Yi Lee1 ; Chin-Cheng Lin1 ; Ying-Chieh Lin1
1 Department of Mathematics National Central University Chung-Li, Taiwan 320, Republic of China
Studia Mathematica, Tome 198 (2010) no. 1, pp. 69-77 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We first show that a linear operator which is bounded on $L^2_w$ with $w\in A_1$ can be extended to a bounded operator on the weighted local Hardy space $h^1_w$ if and only if this operator is uniformly bounded on all $h^1_w$-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to $h^1_w$.
DOI : 10.4064/sm198-1-4
Keywords: first linear operator which bounded extended bounded operator weighted local hardy space only operator uniformly bounded w atoms application every pseudo differential operator order zero has bounded extension

Ming-Yi Lee 1 ; Chin-Cheng Lin 1 ; Ying-Chieh Lin 1

1 Department of Mathematics National Central University Chung-Li, Taiwan 320, Republic of China 
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 on weighted local Hardy spaces
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Ming-Yi Lee; Chin-Cheng Lin; Ying-Chieh Lin. The continuity of pseudo-differential operators
 on weighted local Hardy spaces. Studia Mathematica, Tome 198 (2010) no. 1, pp. 69-77. doi: 10.4064/sm198-1-4

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