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On the Boundedness of Pseudo ‐ Differential Operators on Weighted Besov ‐ Triebel Spaces
Author(s) -
Dintelmann Peter
Publication year - 1997
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.19971830104
Subject(s) - mathematics , besov space , characterization (materials science) , pure mathematics , class (philosophy) , function space , differential (mechanical device) , interpolation space , mathematical analysis , functional analysis , computer science , biochemistry , chemistry , materials science , engineering , artificial intelligence , aerospace engineering , gene , nanotechnology
An elementary straightforward proof for the boundedness of pseudo ‐ differential operators of the Hörmander class Ψ μ I,δ on weighted Besov ‐ Triebel spaces is given using a discrete characterization of function spaces.