Global heat kernel bounds via desingularizing weights |
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| Authors: | Pierre D Milman YuA Semenov |
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| Institution: | Department of Mathematics, University of Toronto, Toronto, Ont., M5S 3G3, Canada |
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| Abstract: | We obtain global heat kernel bounds for semigroups which need not be ultracontractive by transferring them to appropriately chosen weighted spaces where they become ultracontractive. Our construction depends upon two assumptions: the classical Sobolev imbedding and a “desingularizing” (L1,L1) bound on the weighted semigroup. |
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