Bootstrapping Weighted Fourier Inequalities
نویسندگان
چکیده
is finite. The purpose of this paper is to provide a framework for proving inequalities of the form (1). The idea is to exploit the close relationship of the Fourier transform to the operation of convolution and then to apply techniques from the theory of positive integral operators. Although the convolution operators that arise are not necessarily positive, they are trivially majorized by positive convolution operators and this will suffice for our purpose. The main result of the paper is that from a given “input” inequality of the
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Weighted norm inequalities for integral transforms
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