Weighted inequalities for Hilbert transforms and multiplicators of Fourier transforms
As is well known, invariant operators with a shift can be bounded from Lp into Lq only if 1<p≤q<∞. We show that the case q<p might also hold for weighted spaces. We derive the sufficient conditions for the validity of strong (weak) (p,q) type inequalities for the Hilbert transform...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1025583497000167 |