Functional calculus for generators of symmetric contraction semigroups
Carbonaro, Andrea ; Dragičević, Oliver
Dokažemo, da ima vsak generator simetrične kontrakcijske polgrupe na ▫$\sigma$▫-končnem merljivem prostoru za vsak ▫$1 < p < \infty$▫ na ▫$L^p$▫ holomorfni funkcijski račun Hörmanderjevega tipa v ...sektorju, določenem s kotom ▫$\phi_p^\ast = \arcsin \vert 1-2/p \vert$▫. Dobljeni kot je optimalen.
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