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Vector-valued holomorphic and harmonic functions

Wolfgang Arendt (2016)

Concrete Operators

Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with functionals in a separating subspace of the dual space be holomorphic to deduce holomorphy. Another result is Vitali’s convergence theorem for holomorphic functions. The main novelty in the article is to prove analogous results for harmonic functions...

Vector-valued Lp-convergence of orthogonal series and Lagrange interpolation.

Hermann König, Niels J. Nielsen (1994)

Forum mathematicum

Vector-valued means and their applications in some vector-valued function spaces [Book]

Chuanyi Zhang (1994)

Vector-valued Morrey's embedding theorem and Hölder continuity in parabolic problems.

Rabier, Patrick J. (2011)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Vector-valued sequence space $B M C (X)$ and its properties

Qing-Ying Bu (1996)

Commentationes Mathematicae Universitatis Carolinae

In this paper, a vector topology is introduced in the vector-valued sequence space $BMC (X)$ and convergence of sequences and sequentially compact sets in $BMC (X)$ are characterized.

Vector-valued transference and maximal ergodic theory in UMD-valued function spaces.

Naklé H. Asmar, Brian P. Kelly (1996)

Collectanea Mathematica

Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)

Tuomas Hytönen (2006)

Studia Mathematica

We prove an analogue of Y. Meyer's wavelet characterization of the Hardy space H¹(ℝⁿ) for the space H¹(ℝⁿ,X) of X-valued functions. Here X is a Banach space with the UMD property. The proof uses results of T. Figiel on generalized Calderón-Zygmund operators on Bochner spaces and some new local estimates.

Displaying 21 – 30 of 30

Vector-valued holomorphic and harmonic functions

Vector-valued Lp-convergence of orthogonal series and Lagrange interpolation.

Vector-valued means and their applications in some vector-valued function spaces [Book]

Vector-valued Morrey's embedding theorem and Hölder continuity in parabolic problems.

Vector-valued sequence space $B M C (X)$ and its properties

Vector-valued transference and maximal ergodic theory in UMD-valued function spaces.

Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)

Volterra composition operators from $F (p, q, s)$ spaces to Bloch-type spaces.

Volterra kernel operators on Banach function spaces

Von Neumann-Jordan constant for Lebesgue-Bochner spaces.

Currently displaying 21 – 30 of 30