Boundedness properties of resolvents and semigroups of operators

J. van Casteren

Displaying similar documents to “Boundedness properties of resolvents and semigroups of operators”

Riemann-Hilbert problem and solvability of differential equations.

Yoshino, M. (2003)

Rendiconti del Seminario Matematico

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Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces

Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)

Applications of Mathematics

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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.

Uniformly convex functions II

Wancang Ma, David Minda (1993)

Annales Polonici Mathematici

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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses $f^{- 1} (w) = w + d ₂ w ² + d ₃ w ³ + . . .$ . The series expansion for $f^{- 1} (w)$ converges when $| w | < ϱ_{f}$ , where $0 < ϱ_{f}$ depends on f. The sharp bounds on $| a_{n} |$ and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on $| a_{n} |$ and all extremal functions for...