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Title: Control of oscillatory convolution operators via maximal functions in weighted L² inequalities
Author: Harrison, Samuel Marcus
ISNI:       0000 0004 2693 8398
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2010
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This thesis is concerned with the weighted L² boundedness of a family of convolution operators on the line with oscillating kernels. It is proved that these convolution operators are bounded from L²(w) to L²(W) where the Borel measures w and W are in a correspondence given by a maximal function and there is a sense in which this maximal function is the best possible. It is also shown that a one-weighted L² estimate holds for a family of convolution operators with radial oscillating kernels on n-dimensional space.
Supervisor: Not available Sponsor: EPSRC
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics