Fredholm property of non‐smooth pseudodifferential operators | Zendy

Abels Helmut | Zendy; Pfeuffer Christine | Zendy

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Fredholm property of non‐smooth pseudodifferential operators

Author(s) -

Abels Helmut,

Pfeuffer Christine

Publication year - 2020

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.201800361

Subject(s) - pseudodifferential operators , mathematics , symbol (formal) , property (philosophy) , smoothing , space (punctuation) , operator (biology) , variable (mathematics) , fredholm integral equation , pure mathematics , fredholm theory , mathematical analysis , statistics , computer science , integral equation , biochemistry , chemistry , epistemology , repressor , transcription factor , gene , programming language , operating system , philosophy

In this paper we prove sufficient conditions for the Fredholm property of a non‐smooth pseudodifferential operator P which symbol is in a Hölder space with respect to the spatial variable. As a main ingredient for the proof we use a suitable symbol‐smoothing.

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