Quasi-analyticity in Carleman ultraholomorphic classes

Alberto Lastra; Javier Sanz

Displaying similar documents to “Quasi-analyticity in Carleman ultraholomorphic classes”

Accelero-summation of the formal solutions of nonlinear difference equations

Geertrui Klara Immink (2011)

Annales de l’institut Fourier

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In 1996, Braaksma and Faber established the multi-summability, on suitable multi-intervals, of formal power series solutions of locally analytic, nonlinear difference equations, in the absence of “level $1^{+}$ ”. Combining their approach, which is based on the study of corresponding convolution equations, with recent results on the existence of flat (quasi-function) solutions in a particular type of domains, we prove that, under very general conditions, the formal solution is . Its sum is...

Some subclasses of close-to-convex and quasi-convex functions

Zhi-Gang Wang (2007)

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Mixed intersections of non quasi-analytic classes.

Jean Schmets, Manuel Valdivia (2008)

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The Fuglede-Putnam theorem and Putnam's inequality for quasi-class (A, k) operators.

Gao, Fugen, Fang, Xiaochun (2011)

Annals of Functional Analysis (AFA) [electronic only]

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On a problem of Matkowski

Zoltán Daróczy, Gyula Maksa (1999)

Colloquium Mathematicae

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We solve Matkowski's problem for strictly comparable quasi-arithmetic means.

On vector-valued inequalities for Sidon sets and sets of interpolation

N. Kalton (1993)

Colloquium Mathematicae

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Let E be a Sidon subset of the integers and suppose X is a Banach space. Then Pisier has shown that E-spectral polynomials with values in X behave like Rademacher sums with respect to $L_{p}$ -norms. We consider the situation when X is a quasi-Banach space. For general quasi-Banach spaces we show that a similar result holds if and only if E is a set of interpolation ( $I_{0}$ -set). However, for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus...

On quasi-p-bounded subsets

M. Sanchis, A. Tamariz-Mascarúa (1999)

Colloquium Mathematicae

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The notion of quasi-p-boundedness for p ∈ $ω^{*}$ is introduced and investigated. We characterize quasi-p-pseudocompact subsets of β(ω) containing ω, and we show that the concepts of RK-compatible ultrafilter and P-point in $ω^{*}$ can be defined in terms of quasi-p-pseudocompactness. For p ∈ $ω^{*}$ , we prove that a subset B of a space X is quasi-p-bounded in X if and only if B × $P_{R K} (p)$ is bounded in X × $P_{R K} (p)$ , if and only if $c l_{β (X \times P_{R K} (p))} (B \times P_{R K} (p)) = c l_{β X} B \times β (ω)$ , where $P_{R K} (p)$ is the set of Rudin-Keisler predecessors of p.