Results 31 to 40 of about 800 (184)
Proceedings of the American Mathematical Society, 2013 For any function f f belonging to
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Some Estimates of Rough Bilinear Fractional Integral
Journal of Function Spaces and Applications, 2012 We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
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A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
Mathematische Nachrichten, Volume 299, Issue 7, Page 1540-1548, July 2026.ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
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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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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis and Geometry in Metric Spaces, 2020 In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming +3 more
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Liouville‐Type Theorems for the Stationary Tropical Climate Model Without Temperature Assumptions
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 5, May 2026.ABSTRACT We establish Liouville‐type theorems for smooth solutions to the stationary tropical climate model in R3$\mathbb {R}^3$, which couples barotropic velocity and baroclinic velocity with temperature. Under mild decay conditions on the velocity components, we prove that the only solution is trivial: u=v=0$\mathbf {u}= \mathbf {v}= 0$ and θ$\theta$
Youseung Cho, Minsuk Yang
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Orthopaedic Surgery, Volume 18, Issue 4, Page 685-694, April 2026.Total elbow arthroplasty is a commonly performed surgical technique for the management of elbow disorders. The Coonrad–Morrey prosthesis is the most commonly used prosthesis in total elbow arthroplasty. Total elbow arthroplasty using the Coonrad–Morrey prosthesis in Chinese patients can achieve favorable functional outcomes, with a high 5‐year ...
Jianyu Zhang +6 more
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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.
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Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
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