R. A. Sáenz

most citedNontangential limits and Fatou-type theorems on post-critically finite self-similar sets

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.CA2018

Weak-type (1,1) estimates for strongly singular operators

Magali Folch-Gabayet, Ricardo A. Sáenz

Let $ψ$ be a positive function defined near the origin such that $lim_{t \to 0^{+}} ψ (t) = 0$ . We consider the operator \begin{equation*} T_θf(x) = \lim_{\varepsilon\to 0^+} \int_\var…

math.CA2010★ 1 cited

Nontangential limits and Fatou-type theorems on post-critically finite self-similar sets

Ricardo A. Sáenz

In this paper we study the boundary limit properties of harmonic functions on $R_{+} \times K$ , the solutions $u (t, x)$ to the Poisson equation \[ \frac{\partial^2 u}{\partial…