On the Boundedness and Compactness of Nonregular Pseudo‐Differential Operators | Zendy

Marschall Jurgen | Zendy

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On the Boundedness and Compactness of Nonregular Pseudo‐Differential Operators

Author(s) -

Marschall Jurgen

Publication year - 1995

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19951750113

Subject(s) - mathematics , compact space , class (philosophy) , pure mathematics , differential (mechanical device) , differential operator , mathematical analysis , discrete mathematics , computer science , artificial intelligence , engineering , aerospace engineering

We study the boundedness properties of nonregular pseudo‐differential operators and their adjoints on Triebel spaces F p,q s , 0 < p, q≦ ∞. Special attention is payed to sharp estimates. The second aim of this paper is the compactness properties of these operators on weighted and unweighted Triebel spaces F p,q s (w) where the weight w may belong to an arbitrary Muckenhoupt class A ∞ .

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