Under boundedness of the Hardy-Littlewood maximal operator, every compact operator on a reflexive Banach function space belongs to the algebra generated by multiplication and Fourier convolution operators with continuous symbols.
ottcher, Yu. I. Karlovich, and I. M. Spitkovsky, Convolution Operators and Factorization of Almost Periodic Matrix Functions, Birkh\
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Algebra of convolution type operators with continuous data on Banach function spaces
Under boundedness of the Hardy-Littlewood maximal operator, every compact operator on a reflexive Banach function space belongs to the algebra generated by multiplication and Fourier convolution operators with continuous symbols.