The Hilbert Transform on Rearrangement-Invariant Spaces
1967 ◽
Vol 19
◽
pp. 599-616
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Keyword(s):
The purpose of this paper is to investigate conditions under which the Hilbert transform defines a bounded linear operator from a given function space into itself. The spaces with which we deal have the property of rearrangement-invariance which is defined in §1. This class of spaces includes the Lebesgue, Orlicz, and Lorentz spaces.
1991 ◽
Vol 43
(2)
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pp. 241-250
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Keyword(s):
2013 ◽
Vol 95
(2)
◽
pp. 158-168
1967 ◽
Vol 7
(1)
◽
pp. 1-6
◽
1991 ◽
Vol 14
(3)
◽
pp. 611-614
◽
Keyword(s):
Keyword(s):