Results 51 to 60 of about 389 (184)
Algebra Properties in Fourier-Besov Spaces and Their Applications
Journal of Function Spaces, 2018 We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the ...
Xuhuan Zhou, Weiliang Xiao
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Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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Function spaces for decoupling
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell +3 more
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Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Mathematische Nachrichten, Volume 299, Issue 3, Page 637-660, March 2026.Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
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Besov spaces and outer functions.
Michigan Mathematical Journal, 1998 Let \(D\) be the open unit disc in the complex plane and \(T\) denote its boundary. The Besov space \(B^s_{pq}\) consists of those \(f\in L^p(T)\) for which the integral of a certain modulus of continuity converges. The author studies the analytic subspace \(AB^s_{pq}= B^s_{pq}\cap H^p\), where \(H^p\) is the Hardy class on \(D\).
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Boundedness of the Hilbert transform on Besov spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 The Hilbert transform along curves is of a great importance in harmonic analysis. It is known that its boundedness on $L^p(\mathbb{R}^n)$ has been extensively studied by various authors in different contexts and the authors gave positive results for some
A. Maatoug, S.E. Allaoui
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On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the regularity criteria for the velocity field of three‐dimensional shear‐thinning fluids in the framework of Besov spaces. We obtain that when the specific negative exponent of the velocity field satisfies certain integrability conditions in Besov space, its regularity can be completely characterized by a set of parameter ...
Tianli Li +3 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p ...
Sh.A. Balgimbayeva, A.K. Janabilova
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.We investigate the Cauchy problem for the fourth‐order Schrödinger equation with quadratic nonlinearities involving second‐order derivatives: uxxu, uxxū, (ux)2, uūxx, and |ux|2, where u = u(x, t) is a complex‐valued function defined on R×R. The flow map of this Cauchy problem with the nonlinear terms uxxu or uxxū fails to be C2 differentiable at zero ...
Long Xiao, Ting Chen, Xian-Ming Gu
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