Benjamin Jaye

activity

20102016

most citedReflectionless measures for Calderón-Zygmund Operators I: Basic Theory

2 citations · 2 across the 4 of their papers we have counts for

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math.AP2014★ 2 cited

Reflectionless measures for Calderón-Zygmund Operators I: Basic Theory

Benjamin Jaye, Fedor Nazarov

We study the properties of reflectionless measures for an $s$ -dimensional Calderón-Zygmund operator $T$ acting in $R^{d}$ , where $s \in (0, d)$ . Roughly speaking, these are th…

math.AP2012

Quasilinear elliptic equations and weighted Sobolev-Poincaré inequalities with distributional weights

Benjamin J. Jaye, Vladimir G. Maz'ya, Igor E. Verbitsky

We introduce a class of weak solutions to the quasilinear equation $- Δ_{p} u = σ ∣ u ∣^{p - 2} u$ in an open set $Ω \subset R^{n}$ . Here $p > 1$ , and $Δ_{p} u$ is the $p$ -Laplacian operat…

math.AP2010

The fundamental solution of nonlinear equations with natural growth terms

Benjamin J. Jaye, Igor E. Verbitsky

We find bilateral global bounds for the fundamental solutions associated with some quasilinear and fully nonlinear operators perturbed by a nonnegative zero order term with natural…