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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.