Harmonic Analysis and Applications

June 4-8, 2018


"Weighted iterated Lp-Lq inequalities involving fractional convolution"

Jain, Sandhya

In this talk, we shall focus on three types of fractional convolutions. The famous Young's inequality in the context of fractional convolution will be discussed. We give generalized convolutions corresponding to these fractional convolutions. The generalized Fourier convolution given by Nhan, Duc and Tuan comes as a special case of these generalized fractional convolutions. The weighted iterated norm inequalities in the framework of Lebesgue spaces will also be discussed. Strobl2018.docx

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