Existence of Extremizers for a Model Convolution Operator
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DOI: 10.1007/s00041-019-09677-x
Abstract: The operator T, defined by convolution with the affine arc length measure on the moment curve parametrized by $$h(t)=(t,t^{2},\ldots ,t^{d})$$h(t)=(t,t2,…,td) is a bounded operator from $$L^{p}$$Lp to $$L^{q}$$Lq if $$(\frac{1}{p}, \frac{1}{q})$$(1p,1q) lies on a line… read more here.
Keywords: existence extremizers; convolution operator; extremizers model; convolution ... See more keywords