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math.FA2023
Marcinkiewicz-Zygmund inequalities in variable Lebesgue spaces
Marcos Bonich, Daniel Carando, Martín Mazzitelli
We study -valued extensions of linear operators defined on Lebesgue spaces with variable exponent. Under some natural (and usual) conditions on the exponents, we characteri…
math.FA2023
On sets of extreme functions for Fatou's theorem
Thiago R. Alves, Leonardo Brito, Daniel Carando
Bounded holomorphic functions on the disk have radial limits in almost every direction, as follows from Fatou's theorem. Given a zero-measure set in the torus , we s…