Results 31 to 40 of about 471 (175)
Martingale Morrey-Campanato Spaces and Fractional Integrals
Journal of Function Spaces and Applications, 2012 We introduce Morrey-Campanato spaces of martingales and give their basic properties. Our definition of martingale Morrey-Campanato spaces is different from martingale Lipschitz spaces introduced by Weisz, while Campanato spaces contain Lipschitz spaces ...
Eiichi Nakai, Gaku Sadasue
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Proceedings of the American Mathematical Society, 2013 For any function f f belonging to
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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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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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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$\Omega \subset ...
José Carmona Tapia +2 more
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Liouville‐Type Theorems for the Stationary Tropical Climate Model Without Temperature Assumptions
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 5, May 2026.ABSTRACT We establish Liouville‐type theorems for smooth solutions to the stationary tropical climate model in R3$\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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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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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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Pseudodifferential operators and their commutators on Morrey type spaces
Demonstratio MathematicaThis paper discusses the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions, and sets up the sufficient condition such that these operators are bounded on classical Morrey spaces and generalized Morrey ...
Deng Yu-Long
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Journal of Function Spaces, 2016 We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey ...
Hua Wang
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