Results 31 to 40 of about 105 (87)
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
wiley +1 more source
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces.
Godwin Amechi Okeke +3 more
wiley +1 more source
The John–Nirenberg inequality for Orlicz–Lorentz spaces in a probabilistic setting
Revista de la Unión Matemática Argentina, 2023 Summary: The John-Nirenberg inequality is widely studied in the field of mathematical analysis and probability theory. In this paper we study a new type of the John-Nirenberg inequality for Orlicz-Lorentz spaces in a probabilistic setting. To be precise, let \(0 < q \leq \infty\) and \(\Phi\) be an \(N\)-function with some proper restrictions. We prove
Li, Libo, Hao, Zhiwei
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Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Mathematische Nachrichten, Volume 298, Issue 9, Page 2926-2941, September 2025.Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
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Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first define the notion of lacunary statistical convergence of order (α, β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n‐normed spaces with the help of Musielak‐Orlicz function M=(Mk) of order (α, β).
S. A. Mohiuddine +3 more
wiley +1 more source
Optimality of embeddings in Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
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Generalized Lebesgue Points for Hajłasz Functions
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 Let X be a quasi‐Banach function space over a doubling metric measure space P. Denote by αX the generalized upper Boyd index of X. We show that if αX < ∞ and X has absolutely continuous quasinorm, then quasievery point is a generalized Lebesgue point of a quasicontinuous Hajłasz function u∈M˙s,X.
Toni Heikkinen, Henryk Hudzik
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin +3 more
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Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip
Journal of Mathematics, Volume 2018, Issue 1, 2018., 2018 This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrödinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted L1 norms and LlnL norms of the potential. Estimates involving the norms of the potential supported by a curve embedded in a strip are also presented.
Martin Karuhanga, Sivaguru Sritharan
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On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
wiley +1 more source