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Weighted \(L^p\) estimates for powers of selfadjoint operators - MaRDI portal

Weighted \(L^p\) estimates for powers of selfadjoint operators (Q655350)

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Weighted \(L^p\) estimates for powers of selfadjoint operators
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    Weighted \(L^p\) estimates for powers of selfadjoint operators (English)
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    4 January 2012
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    For bounded functions of a selfadjoint operator satisfying a pointwise Gaussian estimate for its heat kernel it is proved \(L^{p}(\omega)\) \((p>1)\) estimates for weights \(\omega\) from Muckenhoupt class \(A_p\). As an application, weighted estimates for fractional powers of an electromagnetic Schrödinger operator with singular coefficients are obtained.
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    singular integrals
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    weighted spaces
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    selfadjoint operator
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    Schrödinger operator
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