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arxiv: 0905.0264 · v1 · submitted 2009-05-03 · 🧮 math.CA · math.AP

Maximal Inequalities and Riesz Transform Estimates on L^p Spaces for Magnetic Schrodinger Operators I

classification 🧮 math.CA math.AP
keywords magneticestimatesinequalitiesmaximalrieszsomecertainconcerns
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The paper concerns the magnetic Schr\"odinger operator on $R^n$. Under certain conditions, given in terms of the reverse H\"older inequality on the magnetic field and the electric potential, we prove some $L^p$ estimates on the Riesz transforms and we establish some related maximal inequalities.

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