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

Ming Yi Lee; Chin Cheng Lin; Ying Chieh Lin

doi:10.4064/sm198-1-4

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

Ming Yi Lee, Chin Cheng Lin, Ying Chieh Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

We first show that a linear operator which is bounded on L², with ε A₁ can be extended to a bounded operator on the weighted local Hardy space h₁, if and only if this operator is uniformly bounded on all h₁-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h ¹.

原文	???core.languages.en_GB???
頁（從 - 到）	69-77
頁數	9
期刊	Studia Mathematica
卷	198
發行號	1
DOIs	https://doi.org/10.4064/sm198-1-4
出版狀態	已出版 - 2010

存取文件

10.4064/sm198-1-4

引用此

@article{246a8d6ef2f3441482c705aadd2858a8,

title = "The continuity of pseudo-differential operators on weighted local Hardy spaces",

abstract = "We first show that a linear operator which is bounded on L2, with ε A1 can be extended to a bounded operator on the weighted local Hardy space h1, if and only if this operator is uniformly bounded on all h1-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h 1.",

keywords = "Pseudo-differential operators, Weighted local hardy spaces",

author = "Lee, {Ming Yi} and Lin, {Chin Cheng} and Lin, {Ying Chieh}",

year = "2010",

doi = "10.4064/sm198-1-4",

language = "???core.languages.en_GB???",

volume = "198",

pages = "69--77",

journal = "Studia Mathematica",

issn = "0039-3223",

number = "1",

}

TY - JOUR

T1 - The continuity of pseudo-differential operators on weighted local Hardy spaces

AU - Lee, Ming Yi

AU - Lin, Chin Cheng

AU - Lin, Ying Chieh

PY - 2010

Y1 - 2010

N2 - We first show that a linear operator which is bounded on L2, with ε A1 can be extended to a bounded operator on the weighted local Hardy space h1, if and only if this operator is uniformly bounded on all h1-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h 1.

AB - We first show that a linear operator which is bounded on L2, with ε A1 can be extended to a bounded operator on the weighted local Hardy space h1, if and only if this operator is uniformly bounded on all h1-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h 1.

KW - Pseudo-differential operators

KW - Weighted local hardy spaces

UR - http://www.scopus.com/inward/record.url?scp=77954495641&partnerID=8YFLogxK

U2 - 10.4064/sm198-1-4

DO - 10.4064/sm198-1-4

M3 - 期刊論文

AN - SCOPUS:77954495641

SN - 0039-3223

VL - 198

SP - 69

EP - 77

JO - Studia Mathematica

JF - Studia Mathematica

IS - 1

ER -

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

摘要

存取文件

指紋

引用此