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Fractional gaussian estimates and holomorphy of semigroups
(Universidad de Puerto Rico Recinto de Río Piedras, 2019-10)
Let Ω ⊂ RN be an arbitrary open set and denote by (e−t(−∆)sRN )t≥0 (where 0 < s < 1) the semigroup on L 2 (R N ) generated by the fractional Laplace operator. In the first part of the thesis we show that if T is a ...