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We present some identities related to the Cauchy-Schwarz inequality in complex inner product spaces. A new proof of the basic result on the subject of strengthened Cauchy-Schwarz inequalities is deriv...
Inspired by a result of Chuprunov and Fazekas, we prove sharp inequalities between centered moments of the same order, but with respect to different probability measures.
We consider maximal singular integral operators arising from rough kernels satisfying an H1-type condition on the unit (n-1)-sphere and prove weighted Lp estimates for certain radial weights. We also ...

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