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A note on Segal algebras on Euclidean spaces


Author: Hwai Chiuan Wang
Journal: Proc. Amer. Math. Soc. 72 (1978), 513-518
MSC: Primary 43A15; Secondary 42B25, 43A32
MathSciNet review: 509245
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Abstract: In this note, we construct and study Segal algebras from three important operators on Euclidean spaces - the Hardy-Littlewood maximal function, the Hilbert transform, and the Sobolov operator.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0509245-1
Keywords: Segal algebras, homogeneous Banach spaces, Hardy-Littlewood maximal functions, Hilbert transforms, Sobolev spaces, nonfactorization
Article copyright: © Copyright 1978 American Mathematical Society