On the p-norm of the truncated n-dimensional Hilbert transform

Pandey, J.N.; Singh, O.P.

dc.contributor.author	Pandey, J.N.
dc.contributor.author	Singh, O.P.
dc.date.accessioned	2021-09-02T10:55:31Z
dc.date.available	2021-09-02T10:55:31Z
dc.date.issued	1991-04
dc.identifier.issn	00049727
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1605
dc.description.abstract	It is shown that a bounded linear operator T from L�(Rn) to itself which commutes both with translations and dilatations is a finite linear combination of Hilbert-type transforms. Using this we show that the ρ-norm of the Hilbert transform is the same as the ρ-norm of its truncation to any Lebesgue measurable subset of Rn with non-zero measure.	en_US
dc.description.sponsorship	Bulletin of the Australian Mathematical Society	en_US
dc.language.iso	en	en_US
dc.relation.ispartofseries	Issue 2,;Volume 43
dc.subject	real line;	en_US
dc.subject	linear operator;	en_US
dc.subject	Cauchy-principal;	en_US
dc.subject	Hilbert transform	en_US
dc.title	On the p-norm of the truncated n-dimensional Hilbert transform	en_US
dc.type	Article	en_US