Results 71 to 80 of about 7,070 (191)

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

Solyanik estimates in harmonic analysis

, 2014
Let $\mathcal{B}$ denote a collection of open bounded sets in $\mathbb{R}^n$, and define the associated maximal operator $M_{\mathcal{B}}$ by $$ M_{\mathcal{B}}f(x) := \sup_{x \in R \in \mathcal{B}} \frac{1}{|R|}\int_R |f|.
A. Córdoba, A. Córdoba, O.V. Beznosova, P.A. Hagelstein   +3 more
core   +1 more source

Correlations of the squares of the Riemann zeta function on the critical line

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
wiley   +1 more source

A Generalization of Exponential Class and Its Applications

Abstract and Applied Analysis, 2013
A function space, Lθ,∞)(Ω), 0 ...
Hongya Gao, Chao Liu, Hong Tian
doaj   +1 more source

Which design is better? A lifecycle approach to the sustainable management of artificial habitat‐structures

Conservation Science and Practice, Volume 7, Issue 8, August 2025.
This article presents a lifecycle approach to providing artificial tree hollows for sustainable habitat restoration in response to human‐induced disturbances. It integrates biological and technological lifecycles to evaluate the long‐term consequences of material choices, construction methods, and design approaches.
Dan Parker, Stanislav Roudavski, Chiara Bettega, Luigi Marchesi, Paolo Pedrini, Mattia Brambilla, Kylie Soanes   +6 more
wiley   +1 more source

Outer measures and weak type estimates of Hardy-Littlewood maximal operators

Journal of Inequalities and Applications, 2006
We will introduce the times modified centered and uncentered Hardy-Littlewood maximal operators on nonhomogeneous spaces for . We will prove that the times modified centered Hardy-Littlewood maximal operator is weak type bounded with constant when ...
Terasawa Yutaka
doaj  

A note on boundedness of operators in Grand Grand Morrey spaces

, 2011
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida, A Fiorenza, A Fiorenza, A Fiorenza, A Meskhi, A Meskhi, C Capone, CB Morrey, E Liflyand, F Chiarenza, G Fratta Di, J Duoandikoetxea, L Greco, M Giaquinta, SG Samko, T Iwaniec   +15 more
core   +1 more source

Principal frequency of clamped plates on RCD(0,N)${\sf RCD}(0,N)$ spaces: Sharpness, rigidity, and stability

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
wiley   +1 more source

Boundedness of Pseudodifferential Operators on Banach Function Spaces

, 2013
We show that if the Hardy-Littlewood maximal operator is bounded on a separable Banach function space $X(\mathbb{R}^n)$ and on its associate space $X'(\mathbb{R}^n)$, then a pseudodifferential operator $\operatorname{Op}(a)$ is bounded on $X(\mathbb{R}^n)
A Miyachi, A Nekvinda, A Nekvinda, AK Lerner, AK Lerner, AK Lerner, AK Lerner, C Bennett, C Capone, D Cruz-Uribe, D Cruz-Uribe, D Cruz-Uribe, E Stein, H Abels, H Kumano-go, J Álvarez, J Álvarez, K Yabuta, K Yabuta, K Yabuta, L Diening, L Diening, L Pick, N Michalowski, N Miller, R Ashino, S Nishigaki, VS Rabinovich   +27 more
core   +1 more source