Results 1 to 10 of about 52,931 (113)
Estimates for evolutionary partial differential equations in classical function spaces
Forum of Mathematics, Sigma, 2023 We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro +3 more
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On integration with respect to filter
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023 This article is devoted to the study of one generalization of the Riemann integral. Namely, in the paper, it was observed that the classical definition of the Riemann integral over a finite segment as a limit of integral sums, when the diameter of the ...
Dmytro Seliutin
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Continuous Frames, Function Spaces, and the Discretization Problem [PDF]
, 2004 A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous superpositions. Associated to a given continuous frame we construct certain Banach spaces.
Communicated Karlheinz Gröchenig +2 more
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Fourier multiplier theorems involving type and cotype [PDF]
, 2017 In this paper we develop the theory of Fourier multiplier operators $T_{m}:L^{p}(\mathbb{R}^{d};X)\to L^{q}(\mathbb{R}^{d};Y)$, for Banach spaces $X$ and $Y$, $1\leq p\leq q\leq \infty$ and $m:\mathbb{R}^d\to \mathcal{L}(X,Y)$ an operator-valued symbol ...
Rozendaal, Jan, Veraar, Mark
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Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras [PDF]
, 2008 $C^*$-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras.
Honegger, Reinhard +2 more
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The ideal of weakly compactly generated operators acting on a Banach space [PDF]
, 2013 We call a bounded linear operator acting between Banach spaces weakly compactly generated ($\mathsf{WCG}$ for short) if its range is contained in a weakly compactly generated subspace of its codomain.
Kania, Tomasz, Kochanek, Tomasz
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Banach spaces and Ramsey Theory: some open problems [PDF]
, 2010 We discuss some open problems in the Geometry of Banach spaces having Ramsey-theoretic flavor. The problems are exposed together with well known results related to them.Comment: 17 pages, no figures; RACSAM, to ...
Dodos, Pandelis +2 more
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Fredholm theory for band-dominated and related operators: a survey [PDF]
, 2013 This paper presents the Fredholm theory on l^p-spaces for band-dominated operators and important subclasses, such as operators in the Wiener algebra. It particularly closes several gaps in the previously known results for the case p=\infty and addresses ...
Seidel, Markus
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Stochastic evolution equations driven by Liouville fractional Brownian motion [PDF]
, 2009 Let H be a Hilbert space and E a Banach space. We set up a theory of stochastic integration of L(H,E)-valued functions with respect to H-cylindrical Liouville fractional Brownian motions (fBm) with arbitrary Hurst parameter in the interval (0,1).
A. Ohashi +46 more
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Controllability on infinite-dimensional manifolds [PDF]
, 2012 Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori +61 more
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