A characterization of weighted $(LB)$-spaces of holomorphic functions having the dual density condition

Elke Wolf

Displaying similar documents to “A characterization of weighted $(L B)$ -spaces of holomorphic functions having the dual density condition”

Elliptic corner operators in spaces with continuous radial asymptotics II

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Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.

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Klaus-Dieter. Bierstedt, José Bonet (1989)

Revista Matemática de la Universidad Complutense de Madrid

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We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.

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Weighted Fréchet spaces of holomorphic functions

Elke Wolf (2006)

Studia Mathematica

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This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type $H^{\infty}$ . We characterize when these Fréchet spaces are Schwartz, Montel or reflexive. The quasinormability is also analyzed. In the latter case more restrictive assumptions are needed to obtain a full characterization.

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On weighted spaces of functions harmonic in $ℝ^{n}$

Albert I. Petrosyan (2006)

Commentationes Mathematicae Universitatis Carolinae

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The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b_{ω}^{p} (ℝ^{n})$ of functions harmonic in the whole $ℝ^{n}$ .

Periodic problems for ODEs via multivalued Poincaré operators

Lech Górniewicz (1998)

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We shall consider periodic problems for ordinary differential equations of the form $\{\begin{matrix} x^{'} (t) = f (t, x (t)), \\ x (0) = x (a), \end{matrix}$ where $f : [0, a] \times R^{n} \to R^{n}$ satisfies suitable assumptions. To study the above problem we shall follow an approach based on the topological degree theory. Roughly speaking, if on some ball of $R^{n}$ , the topological degree of, associated to (), multivalued Poincaré operator $P$ turns out to be different from zero, then problem () has solutions. Next by using the multivalued version of the classical Liapunov-Krasnoselskǐ guiding...

Characterization of the $ω$ hypoelliptic convolution operators on ultradistributions.

Bonet, J., Fernández, C., Meise, R. (2000)

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Associated weights and spaces of holomorphic functions

Klaus Bierstedt, José Bonet, Jari Taskinen (1998)

Studia Mathematica

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When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset $G \subset ℂ^{N}$ which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also...

Displaying similar documents to “A characterization of weighted ( L B ) -spaces of holomorphic functions having the dual density condition”

Displaying similar documents to “A characterization of weighted $(L B)$ -spaces of holomorphic functions having the dual density condition”