نتایج جستجو برای: polynomially bounded
تعداد نتایج: 66982 فیلتر نتایج به سال:
We determine the form of polynomially bounded solutions to the Loewner differential equation that is satisfied by univalent subordination chains of the form $f(z,t)=e^{int_0^t A(tau){rm d}tau}z+cdots$, where $A:[0,infty]rightarrow L(mathbb{C}^n,mathbb{C}^n)$ is a locally Lebesgue integrable mapping and satisfying the condition $$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t [A(tau)...
we determine the form of polynomially bounded solutions to the loewner differential equation that is satisfied by univalent subordination chains of the form $f(z,t)=e^{int_0^t a(tau){rm d}tau}z+cdots$, where $a:[0,infty]rightarrow l(mathbb{c}^n,mathbb{c}^n)$ is a locally lebesgue integrable mapping and satisfying the condition $$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t [a(tau)...
We characterize generators of polynomially bounded C0-semigroups in terms of an integrability condition for the second power of the resolvent on vertical lines. This generalizes results by Gomilko, Shi and Feng on bounded semigroups and by Malejki on polynomially bounded groups.
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