Results 31 to 40 of about 389 (184)

Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces

Analysis and Geometry in Metric Spaces, 2017
We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
doaj   +1 more source

A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2016
By establishing a new trilinear estimate, we show a regularity criterion for the three dimensional micropolar fluid system via the velocity in homogeneous Besov spaces. This improves [B. Q. Dong, Z. L.
Zujin Zhang
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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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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
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Diffraction by a union of strips with impedance conditions in Besov and Bessel potential spaces

Mathematical Modelling and Analysis, 2008
We consider an impedance boundary‐value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a union of strips. Pseudo‐differential operators acting between Bessel potential spaces and Besov spaces are
Luis P. Castro, David Kapanadze
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Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15316-15326, 15 September 2026.
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley   +1 more source

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.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.
ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley   +1 more source

Oscillations and differences in Besov–Morrey and Besov-type spaces

Analysis and Applications
In 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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