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Continuity properties of the Hilbert transform

✍ Scribed by A Benedek; R Panzone


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
699 KB
Volume
7
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES


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These results are due to KWAPIEN [ll], PISIEB [18] and Borntom [3], BWKHOLDER [5], respectively. We call an operator u: bounded. Define &(u) := Ilu Q Hll. The claas of HT-operators forms an injective, surjective, completely symmetric and maximal BANACH ideal (in the sense of PJETSCH [17)}, see cha

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A generalized integral similar to integrability B is used to study the Hilbert transform on X= 1 p< L p (R), with a view to obtaining (i) a mollifier which commutes with the Hilbert transform on X and coincides with the Friedrichs mollifier on L loc 1 (R); (ii) estimates for nonlinear equations; (ii