Results 151 to 160 of about 397 (184)
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On Elliptic Problems in Besov Spaces

Mathematische Nachrichten, 1991
First, some properties of Besov spaces are explained and linear elliptic problems in \(B_{p,q}^ \alpha (R^ n) \) are studied. Further, general linear boundary value problems in Besov spaces are considered. Particularly, existence and unicity of solutions are proved and sufficient conditions for the generation of semigroups by elliptic operators with ...
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Multiplication properties of besov spaces

Annali di Matematica Pura ed Applicata, 1977
The paper deals with the question whether f → gf (pointwise multiplication) is a bounded operator from B p,q s =B p,q s (Rn) into itself. Here B p,q s are the general (non-homogeneous isotropic ...
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Morrey-Besov Spaces and Besov Capacity

2015
Here, we make a brief visit to the theory of Besov spaces, Besov capacity, and the Morrey-Besov analogue of Theorem 7.1 (i) - the Sobolev inequality for the Morrey-Besov setting. In fact, we shall say that a function u(x) satisfies the Morrey-Besov condition if \(u \in L^{p}(\mathbb{R}^{n}),\;1 \leq p
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Mean Oscillation and Besov Spaces

Canadian Mathematical Bulletin, 1985
AbstractThe homogeneous Besov-Lipschitz spaces, usually defined by difference operators or Fourier transform, are studied in terms of mean oscillation, and several equivalent characterisations are given.
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Besov Spaces and a Trace Ideal

Acta Mathematica Hungarica, 1999
Let \(\Pi_2\) be the operator ideal of all absolutely 2-summing operators and let \((\Pi_2)_{2,1}^{(a)}\) be the ideal of operators whose sequences of \(\Pi_2\)-approximation numbers belong to the Lorentz sequence space \(\ell_{2,1}\). The author presents two results of the following kind. If a given matrix or kernel function belongs to a certain Besov
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Pointwise Besov Space Smoothing of Images

Journal of Mathematical Imaging and Vision, 2018
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Gregery T. Buzzard   +4 more
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Besov Spaces, Multipliers and Univalent Functions

Complex Analysis and Operator Theory, 2011
For \(1\leq ...
Galanopoulos, Petros   +2 more
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Rearrangements of Functions in Besov Spaces

Mathematische Nachrichten, 2001
Let \(BV(0,l)\) be the space of functions of bounded variation in \((0,l)\). For \(\theta \in(0,1)\) and \(p\in[1,\infty]\) define \(Z_{\theta,p}(0,l)\) as \[ Z_{\theta,p}(0,l)= (L_\infty(0,l), BV(0,l))_{\theta,p}, \] the real interpolation space between \(L_\infty(0,l)\) and \( BV(0,l)\). The Banach space \(V_p(0,l)\) is defined by \[ V_p(0,l)=\{ u\in
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Besov spaces and the multifractal hypothesis

Journal of Statistical Physics, 1995
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Composition Semigroups on the Besov Spaces

Complex Analysis and Operator Theory
We study semigroups of composition operators acting on the Besov spaces $B_p$, where they exhibit some new behaviors relative to many classical spaces. Often for a Banach space $X$ of analytic functions on the unit disk, the maximal closed space of strong continuity, $[ φ_t, X ]$, exists for every semigroup $\{ φ_t \}$ of analytic self-maps of the disk,
Anderson, Austin   +2 more
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