Boundedness of Anisotropic Pseudo-Differential Operators in Function Spaces of Besov–Hardy–Sobolev Type | Zendy

HansGerd Leopold | Zendy

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Boundedness of Anisotropic Pseudo-Differential Operators in Function Spaces of Besov–Hardy–Sobolev Type

Author(s) -

HansGerd Leopold

Publication year - 1986

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - German

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/208

Subject(s) - sobolev space , mathematics , hardy space , type (biology) , besov space , interpolation space , mathematical analysis , function (biology) , pure mathematics , differential operator , differential (mechanical device) , functional analysis , physics , geology , paleontology , biochemistry , chemistry , evolutionary biology , biology , gene , thermodynamics

Es werden Pseudodifferentia loperatoren in anisotropen Funk tioncnräurnen vorn Besov-HardySobolev-Typ B, q und F q betrachtet. Dazu wird eine Veillgemeinerung der klassischen Hörnianderschen Pseudodifferentiloperatoren für den anisotropen Fall eingefUhrt und em Satz über die Beschränktheit dieser anisotropen Pseudodifferentia lope ratoren in den entsreehenden anisotropen Funktmonenräu men bewiesen.

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