Results 21 to 30 of about 397 (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
openaire +1 more source
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
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Characterization of Weighted Besov Spaces [PDF]
Mathematische Nachrichten, 1995 AbstractWe find conditions on the weight w in order to characterize functions in weighted Besov spaces Bp.q/w.φ in terms of differences Δxf.
Ansorena, José Luis, Blasco, Oscar
openaire +1 more source
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
openaire +2 more sources
Besov Spaces with General Weights
Journal of Mathematical Study, 2023 Summary: We introduce Besov spaces with general smoothness. These spaces unify and generalize the classical Besov spaces. We establish the \(\varphi\)-transform characterization of these spaces in the sense of \textit{M. Frazier} and \textit{B. Jawerth} [Indiana Univ. Math. J. 34, 777--799 (1985; Zbl 0551.46018); J. Funct. Anal. 93, No.
openaire +2 more sources
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
openaire +1 more source
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
openaire +3 more sources
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
doaj +1 more source