4.5 Article

Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrodinger Operators

Journal

JOURNAL OF FUNCTION SPACES
Volume 2023, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2023/8001131

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In this paper, we establish the quantitative weighted boundedness of Littlewood-Paley functions generated by fractional heat semigroups related with the Schrodinger operators, using the regularity estimate of the fractional heat kernel related with L.
Let L = -? + V be a Schrodinger operator on ]Rn, where ? denotes the Laplace operator ?(n)(i=1)?(2)/?x(i )(2)and V is a nonnegative potential belonging to a certain reverse Holder class RHq(R-n)with q > n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood-Paley functions generated by fractional heat semigroups related with the Schrodinger operators.

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