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math.FA2023★ 1 cited
A variant of Hilbert's inequality and the norm of the Hilbert Matrix on
Vassilis Daskalogiannis, Petros Galanopoulos, Michael Papadimitrakis
We prove the nontrivial variant \[ \sum\limits_{m,n=1}^{\infty}\Big(\frac{n}{m}\Big)^{\frac{1}{q}-\frac{1}{p}}\frac{a_mb_n}{m+n-1}\leq\fracπ{\sin\fracπ{p}} \Big( \sum\limits_{m=1}^…
math.CV2023
Inequalities on Tent Spaces and Closed Range Integration Operators on spaces of Average Radial Integrability
Tanausú Aguilar-Hernández, Petros Galanopoulos
We deal with a reverse Carleson measure inequality for the tent spaces of analytic functions in the unit disc of the complex plane. The tent spaces of measurable funct…