Riesz transforms associated to Schrödinger operators with negative potentials

2009/09/25 by Joyce Assaad, Assaad, Joyce
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.0909.4595

arxiv created 2009/10/24 · arxiv updated 2009/12/01

Abstract

The goal of this paper is to study the Riesz transforms \na A^-1/2 where A is the Schrödinger operator -\D-V, V≥ 0, under different conditions on the potential V. We prove that if V is strongly subcritical, \na A^-1/2 is bounded on L^p(\R^N), N≥3, for all p∈(p₀';2] where p₀' is the dual exponent of p₀ where 2<(2N)/(N-2)

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