Results 51 to 60 of about 2,023 (204)
Remarks on a Subspace of Morrey Spaces [PDF]
Tokyo Journal of Mathematics, 2014 \textit{C. T. Zorko} [Proc. Am. Math. Soc. 98, 586--592 (1986; Zbl 0612.43003)] identified the predual \(Z^{q, \lambda}(\mathbb{T})\) of the Morrey spaces \(L^{p,\lambda}(\mathbb{T})\) on the unit circle \(\mathbb{T}\) for ...
IZUMI, Takashi +2 more
openaire +3 more sources
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley +1 more source
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
wiley +1 more source
Open MathematicsWe define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj +1 more source
Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains
Analysis and Geometry in Metric Spaces, 2020 In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded domains.
Zhuo Ciqiang +2 more
doaj +1 more source
p-Adic Riesz Potential and Its Commutators on Morrey-Herz Spaces
Journal of Function Spaces, 2022 In this paper, we establish the boundedness of p-adic Riesz potential on Morrey-Herz spaces, as well as the λ-central BMO estimates for multilinear commutators of p-adic Riesz potential on Morrey-Herz spaces.
Yanlong Shi, Yafeng Shi, Shenbao Chen
doaj +1 more source
Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang +3 more
wiley +1 more source
Interpolation and duality of generalized grand Morrey spaces on quasi-metric measure spaces [PDF]
, 2017 summary:Let $\theta \in (0,1)$, $\lambda \in [0,1)$ and $p,p_0,p_1\in (1,\infty ]$ be such that ${(1-\theta )}/{p_{0}}+{\theta }/{p_{1}}={1}/{p}$, and let $\varphi , \varphi _0, \varphi _1 $ be some admissible functions such that $\varphi , \varphi _0 ...
Yuan, Wen, Liu, Yi
core +1 more source
Journal of Function Spaces, 2017 We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.
Wei Wang, Jingshi Xu
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source