Results 21 to 30 of about 173 (137)
Greedy Bases for Besov Spaces [PDF]
Constructive Approximation, 2010 We prove thatthe Banach space $(\oplus_{n=1}^\infty \ell_p^n)_{\ell_q}$, which is isomorphic to certain Besov spaces, has a greedy basis whenever $1\leq p \leq\infty$ and ...
Dilworth, S. J. +3 more
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Publications of the Research Institute for Mathematical Sciences, 1976 This paper is a supplement to the author's paper [6]. Here we shall discuss the space Bpi00_($), a closed subspace of JB£>JO(,G), and determine the dual of Besov spaces ££ig(J2) . For a measure space (M, /*) and a Banach space X by L (M, p. ; X) we denote the space of all X-valued strongly measurable functions f(x) such that \f(x)lx 0 and as |y|-»oo ...
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Generalized Besov Spaces and Their Applications
Tokyo Journal of Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KAWAZOE, Takeshi, MEJJAOLI, Hatem
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Oscillations and differences in Besov–Morrey and Besov-type spaces
Analysis and ApplicationsIn this paper, we investigate Besov–Morrey spaces [Formula: see text] and Besov-type spaces [Formula: see text] of positive smoothness defined on Lipschitz domains [Formula: see text] as well as on [Formula: see text]. We combine the Hedberg–Netrusov approach to function spaces with distinguished kernel representations due to Triebel, in order to ...
Marc Hovemann, Markus Weimar
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Harmonic Besov spaces on the ball [PDF]
International Journal of Mathematics, 2016 We initiate a detailed study of two-parameter Besov spaces on the unit ball of [Formula: see text] consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces that are Hilbert spaces.
Gergün S. +2 more
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The Besov capacity in metric spaces [PDF]
Annales Polonici Mathematici, 2016 We study a capacity theory based on a definition of Hajł asz-Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content.
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Besov spaces and outer functions.
Michigan Mathematical Journal, 1998 Let \(D\) be the open unit disc in the complex plane and \(T\) denote its boundary. The Besov space \(B^s_{pq}\) consists of those \(f\in L^p(T)\) for which the integral of a certain modulus of continuity converges. The author studies the analytic subspace \(AB^s_{pq}= B^s_{pq}\cap H^p\), where \(H^p\) is the Hardy class on \(D\).
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K-functionals for Besov spaces
Journal of Approximation Theory, 1991 Let \(X_ 0\), \(X_ 1\) be a pair of quasi-normed spaces, which are continuously embedded in a Hausdorff space \(X\); their \(K\)-functional, defined for all \(f\in X_ 0+X_ 1\) is \[ K(f,t):=\inf_{f=f_ 0+f_ 1}(\| f_ 0\|_{X_ 0}+t\| f_ 1\| _{X_ 1}). \] In particular, these functionals provide some information about interpolation spaces generated by \(X_ 0\
DeVore, Ronald A, Yu, Xiang Ming
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Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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Function spaces for decoupling
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell +3 more
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