Open AccessOn Convolution Operators in the Spaces of Almost Periodic Functions and $L^p$ Spaces
Author(s) -
Guglielmo Bruno,
А. А. Панков
Publication year - 2000
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/955
Subject(s) - convolution (computer science) , mathematics , pure mathematics , mathematical analysis , computer science , artificial neural network , machine learning
We consider operators of convolution generated by L func tions in L and various spaces of almost periodic functions It turns out to be that if such an operator is invertible in one of these spaces then it is in vertible in all the spaces we consider Further we prove that any convolution has identical norms in many natural couples of functional spaces
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