Results 21 to 30 of about 389 (184)
On Besov spaces modelled on Zygmund spaces
Journal of Approximation Theory, 2016 On the \(d\)-torus \(\mathbb T^d\) the periodic Besov spaces \(B^s_{p,q}\) with ...
Fernando Cobos, Oscar Domínguez
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Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences
Journal of Function Spaces and Applications, 2012 We present characterizations of the Besov-type spaces 𝐵𝑠,𝜏𝑝,𝑞 and the Triebel-Lizorkin-type spaces 𝐹𝑠,𝜏𝑝,𝑞 by differences. All these results generalize the existing classical results on Besov and Triebel-Lizorkin spaces by taking 𝜏=0.
Douadi Drihem
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BESOV-TYPE SPACES AND DIFFERENCES
Eurasian Mathematical Journal, 2020 Summary: We study characterizations by differences of the Besov-type spaces \(B_{p,q}^{s,\tau}(\mathbb{R}^d)\). Our focus is on necessary and sufficient conditions on \(s\) for the validity of those characterizations.
Hovemann, Marc, Sickel, Winfried
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Equivalent Characterization on Besov Space
Abstract and Applied Analysis, 2021 In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm. Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied.
Cong He, Jingchun Chen
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Abstract and Applied Analysis, 2014 We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces FB˙p,q1-2β+3/p′. Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers some ...
Weiliang Xiao +3 more
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Approximation of Functions in Besov Space
Tamkang Journal of Mathematics, 2021 In the present paper, we establish a theorem on best approximation of a function g ∈ Bqλ(Lr) of its Fourier series. Our main theorem generalizes some known results of this direction of work. Thus, the results of [10], [26] and [27] become the particular case of our main Theorem 3.1.
Hare Krishna Nigam, Supriya Rani
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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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On Mixed Fractional Lifting Oscillation Spaces
Fractal and Fractional, 2023 We introduce hyperbolic oscillation spaces and mixed fractional lifting oscillation spaces expressed in terms of hyperbolic wavelet leaders of multivariate signals on Rd, with d≥2.
Imtithal Alzughaibi +2 more
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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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