arXiv subjects

Álvaro Corvalán

Publications and source records attributed to Álvaro Corvalán.

2 recordsLinked to original sources

arXiv2026

Interpolation and Extrapolation Statements equivalent to the Riemann Hypothesis

The goal of this paper is twofold; on one hand we wish to present some statements that can be formulated in terms of Interpolation theory which are equivalent to the truth or the falseness of the Riemann Hypothesis, on the other hand we will use a key result of the Jawerth-Milman extrapolation to improve on a well-known criterion by Beurling and Nyman for the Riemann Hypothesis giving sharper sufficient conditions to the celebrated hypothesis.

math.NT↗

arXiv2017

Some characterizations of the preimage of $A_{\infty}$ for the Hardy-Littlewood maximal operator and consequences

The purpose of this paper is to give some characterizations of the weight functions $w$ such that $Mw$ is in $A_{\infty}$. We show that for those weights to be in $A_{\infty}$ ensures to be in $A_{1}$. We give a criterion in terms of the local maximal functions $m_λ$ and we present a pair of applications, among them someone similar to the Coifman-Rochberg characterization of $A_{1}$ but using functions of the form $(f^{\#})^δ$ and $(m_λu)^δ$ instead of $(Mf)^δ$.

math.CA↗