Results 11 to 20 of about 173 (137)
Nonlinear Analysis, 2020 Let $Ω$ be a smooth bounded domain in $\mathbb R^n$ and u be a measurable function on $Ω$ such that $|u(x)|=1$ almost everywhere in $Ω$. Assume that u belongs to the $B^s_{p,q}(Ω)$ Besov space. We investigate whether there exists a real-valued function $φ\in B^s_{p,q}$ such that $u=e^{iφ}$.
Mironescu, Petru +2 more
openaire +4 more sources
Journal of Function Spaces and Applications, 2012 Summary: We introduce the Besov-Schatten spaces \(B_p(\ell^2)\), a matrix version af analytic Besov space, and we compute the dual of this space showing that it coincides with the matricial Bloch space introduced previously by \textit{N. Popa} [Rev. Roum. Math. Pures Appl. 52, No. 4, 459--478 (2007; Zbl 1174.46015)]. Finally we compute the space of all
A. N. Marcoci +2 more
openaire +2 more sources
Acta Mathematica Sinica, English Series, 2022 In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the $φ$-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function spaces are obtained.
Zeghad, Zouheyr, Drihem, Douadi
openaire +3 more sources
Traces of Besov Spaces Revisited [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2000 For the trace of Besov spaces B^s_{p,q} onto a hyperplane, the borderline case with s = \frac {n}{p} – (n–1) and 0 < p &
openaire +4 more sources
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
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