Zobrazeno 1 - 10
of 715
pro vyhledávání: '"35a23"'
Autor:
Dolbeault, Jean
Obtaining explicit stability estimates in classical functional inequalities like the Sobolev inequality has been an essentially open question for 30 years, after the celebrated but non-constructive result of G. Bianchi and H. Egnell in 1991. Recently
Externí odkaz:
http://arxiv.org/abs/2411.13271
Autor:
Huang, Xia, Ye, Dong
Recently, Yanyan Li and Xukai Yan showed the following interesting Hardy inequalities with anisotropic weights: Let $n\geq 2$, $p \geq 1$, $p\alpha > 1-n$, $p(\alpha + \beta)> -n$, then there exists $C > 0$ such that $$\||x|^{\beta}|x'|^{\alpha+1} \n
Externí odkaz:
http://arxiv.org/abs/2411.12322
Autor:
Musina, Roberta, Nazarov, Alexander I.
We continue our investigation of Hardy-type inequalities involving combinations of cylindrical and spherical weights. Compared to [Cora-Musina-Nazarov, Ann. Sc. Norm. Sup., 2024], where the quasi-spherical case was considered, we handle the full rang
Externí odkaz:
http://arxiv.org/abs/2411.08585
We study the Mabuchi functional associated to a big cohomology class. We define an invariant associated to transcendental Fujita approximations, whose vanishing is related to the Yau-Tian Donaldson conjecture. Assuming vanishing (finiteness) of this
Externí odkaz:
http://arxiv.org/abs/2410.08984
Autor:
Bormann, Marie
We give upper bounds for the Poincar\'e and Logarithmic Sobolev constants for doubly weighted Brownian motion on manifolds with sticky reflecting boundary diffusion under curvature assumptions on the manifold and its boundary. We therefor use an inte
Externí odkaz:
http://arxiv.org/abs/2409.19336
Autor:
Huang, Xia, Ye, Dong
In this paper, we show Hardy-Rellich identities for polyharmonic operators $\Delta^m$ and radial Laplacian $\Delta_r^m$ in $\mathbb{R}^n$ with Hardy-H\'enon weight $|x|^\alpha$ for all $m, n\in \mathbb{N}, \alpha\in \mathbb{R}$. Moreover, the iterati
Externí odkaz:
http://arxiv.org/abs/2409.12571
Autor:
Gurka, Petr, Hauer, Daniel
In our previous publication [{\em Calc. Var. Partial Differential Equations}, 60(1):Paper No. 16, 27, 2021], we delved into examining a critical Sobolev-type embedding of a Sobolev weighted space into an exponential weighted Orlicz space. We specific
Externí odkaz:
http://arxiv.org/abs/2409.11193
Embedding theorems for symmetric functions without zero boundary condition have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been established on hyperbolic spaces for functions with zero bo
Externí odkaz:
http://arxiv.org/abs/2408.13599
Let $E(\mathbb{T}^{d}_{\theta}),F(\mathbb{T}^{d}_{\theta})$ be two symmetric operator spaces on noncommutative torus $\mathbb{T}^{d}_{\theta}$ corresponding to symmetric function spaces $E,F$ on $(0,1)$. We obtain the Gagliardo--Nirenberg interpolati
Externí odkaz:
http://arxiv.org/abs/2408.13094
In this paper we investigate cylindrical extensions of critical Sobolev type (improved Hardy) inequalities and identities in the style of Badiale-Tarantello \cite{BT02}, which in a special case give a critical Hardy inequality and its stability resul
Externí odkaz:
http://arxiv.org/abs/2408.10697