Results 31 to 40 of about 397 (184)
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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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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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
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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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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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Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
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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
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Oscillations and differences in Besov–Morrey and Besov-type spaces
Analysis and ApplicationsIn 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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Harmonic Besov spaces on the ball [PDF]
International Journal of Mathematics, 2016 We initiate a detailed study of two-parameter Besov spaces on the unit ball of [Formula: see text] consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces that are Hilbert spaces.
Gergün S. +2 more
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Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
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