Results 51 to 60 of about 1,350 (213)
Riesz potential on the Heisenberg group and modified Morrey spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we study the fractional maximal operator Mα, 0 ≤ α < Q and the Riesz potential operator ℑα, 0 < α < Q on the Heisenberg group in the modified Morrey spaces L͂p,λ(ℍn), where Q = 2n + 2 is the homogeneous dimension on ℍn.
Guliyev Vagif S., Mammadov Yagub Y.
doaj +1 more source
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
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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
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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
wiley +1 more source
Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces
Tensor: Pure and Applied Mathematics Journal, 2021 In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
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Dual spaces of local Morrey-type spaces [PDF]
Czechoslovak Mathematical Journal, 2011 Let \(\omega \) be a weight function on \((0,\infty )\). The local Morrey-type spaces \(LM_{p,\theta ,\omega }\) with the norm \(\| \omega (r)\| f\| _{L_p(B(0,r))}\| _{L_{\theta }(0,\infty )}\) are considered.
Gogatishvili, Amiran, Mustafayev, Rza
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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
Syarat cukup ketaksamaan Minkowski pada ruang Morrey, Herz, dan Herz-Morrey [PDF]
, 2021 INDONESIA: Ketaksaman Minkowski merupakan ketaksamaan dasar yang dikembangkan dari ketaksamaan segitiga. Ketaksamaan Minkowski juga banyak digunakan dalam analisis fungsional untuk membuktikan ketaksamaan lainnya. Pada penelitian ini, penulis tertarik
Ulandari, Sintya
core
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
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Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces
, 2022 We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded domain $Ω\subset {\mathbb R}^d$. This covers, in particular, the meanwhile well-known and completely answered situation for spaces of Besov and Triebel-Lizorkin type defined on bounded domains which has ...
Haroske, Dorothee D., Skrzypczak, Leszek
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