A. Torchinsky

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20052025

H^{p, q} (R^{n})

6 citations · 20 across the 13 of their papers we have counts for

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math.CA2013★ 4 cited

Weighted local estimates for fractional type operators

Alberto Torchinsky

In this note we prove the estimate $M_{0, s}^{♯} (T f) (x) \leq c M_{γ} f (x)$ for general fractional type operators $T$ , where $M_{0, s}^{♯}$ is the local sharp maximal function…

math.CA2013

Weighted Local Estimates for Singular Integral Operators

Jonathan Poelhuis, Alberto Torchinsky

A local median decomposition is used to prove that a weighted local mean of a function is controlled by a weighted local mean of its local sharp maximal function. Together with (a…