Abstract

We show that the norm of the Hilbert transform as an operator in the weighted space

(ω) for 2 ≤ p p characteristic of ω. This result is sharp. We also prove a bilinear imbedding theorem with simple conditions.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1355-1375
Launched on MUSE
2007-10-15
Open Access
No
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