Boundedness of the Hilbert Transform on Weighted Lorentz Spaces
The main goal of this thesis is to characterize the weak-type (resp. strong-type) boundedness of the Hilbert transform H on weighted Lorentz spaces Λpu(w). The characterization is given in terms of some geometric conditions on the weights u and w and the weak-type (resp. strong-type) boundedness...
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| Format: | Doctoral Thesis |
| Language: | English |
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Universitat de Barcelona
2012
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| Online Access: | http://hdl.handle.net/10803/108930 |