Results 11 to 20 of about 389 (184)

Besov-Schatten Spaces [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
We introduce the Besov-Schatten spaces 𝐵𝑝(ℓ2), 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 in Popa (2007).
A. N. Marcoci   +2 more
doaj   +2 more sources

Lifting in Besov spaces [PDF]

open access: yesNonlinear 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

Estimates of the norm of the convolution operator in anisotropic Besov spaces with the dominated mixed derivative

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we investigate the boundedness of the norm of the convolution operator in Sobolev spaces with the dominated mixed derivative and anisotropic Nikolsky-Besov spaces.
K.K. Sadykova, N.T. Tleukhanova
doaj   +1 more source

Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods.
K.A. Bekmaganbetov   +2 more
doaj   +1 more source

Traces of Besov Spaces Revisited [PDF]

open access: yesZeitschrift 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

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
doaj   +1 more source

Variable Besov-type Spaces

open access: yesActa 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

Equivalent norms of Herz-type Besov and Triebel-Lizorkin spaces

open access: yesJournal of Function Spaces and Applications, 2005
In this paper the author obtains equivalent norms of Herz-type Besov and Triebel-Lizorkin spaces, which are generalizations of well-known Herz-type spaces and inhomogeneous Besov and Triebel-Lizorkin spaces.
Jingshi Xu
doaj   +1 more source

Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization

open access: yesJournal of Function Spaces and Applications, 2012
We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems.
Hartmut Führ, Azita Mayeli
doaj   +1 more source

Fourier Series Approximation in Besov Spaces

open access: yesJournal of Mathematics, 2023
Defined on the top of classical Lp-spaces, the Besov spaces of periodic functions are good at encoding the smoothness properties of their elements.
Birendra Singh, Uaday Singh
doaj   +1 more source

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