Control of oscillatory convolution operators via maximal functions in weighted L² inequalities
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...
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University of Birmingham
2010
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| Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.523254 |