Results 51 to 60 of about 40,844 (184)

On A Class of Degenerate And Singular Monge-Ampère Equations [PDF]

arXiv, 2019
In this paper we shall prove the existence, uniqueness and global H$\ddot{o}$lder continuity for the Dirichlet problem of a class of Monge-Amp\`ere type equations which may be degenerate and singular on the boundary of convex domains. We will establish a relation of the H$\ddot{o}$lder exponent for the solutions with the convexity for the domains.
arxiv  

Extensions of the operator Bellman and operator Holder type inequalities

Constructive Mathematical Analysis
In this paper, we employ the concept of operator means as well as some operator techniques to establish new operator Bellman and operator H\"{o}lder type inequalities. Among other results, it is shown that if $\mathbf{A}=(A_t)_{t\in \Omega}$ and $\mathbf{
M. Bakherad, F. Kittaneh
semanticscholar   +1 more source

Social context prevents heat hormetic effects against mutagens during fish development

FEBS Letters, EarlyView.
This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere, Claudio Silva De Freitas, Adam Bates, Kenneth B. Storey, Pedro Beltran‐Alvarez, Katharina C. Wollenberg Valero   +5 more
wiley   +1 more source

Continuous Wavelets on Compact Manifolds [PDF]

, 2008
Let $\bf M$ be a smooth compact oriented Riemannian manifold, and let $\Delta_{\bf M}$ be the Laplace-Beltrami operator on ${\bf M}$. Say $0 \neq f \in \mathcal{S}(\RR^+)$, and that $f(0) = 0$. For $t > 0$, let $K_t(x,y)$ denote the kernel of $f(t^2 \Delta_{\bf M})$. We show that $K_t$ is well-localized near the diagonal, in the sense that it satisfies
arxiv   +1 more source

On new versions of Hermite-Hadamard-type inequalities based on tempered fractional integrals

Filomat
This research is on the new versions of Hermite-Hadamard type inequalities. These inequalities established by means of convex mappings include tempered fractional integral operators. Obtaining these inequalities, well-known H?lder inequality and power
H. Budak, F. Hezenci, T. Tunç, H. Kara
semanticscholar   +1 more source

miRNA‐29 regulates epidermal and mesenchymal functions in skin repair

FEBS Letters, EarlyView.
miRNA‐29 inhibits cell‐to‐cell and cell‐to‐matrix adhesion by silencing mRNA targets. Adhesion is controlled by complex interactions between many types of molecules coded by mRNAs. This is crucial for keeping together the layers of the skin and for regenerating the skin after wounding.
Lalitha Thiagarajan, Rosa Sanchez‐Alvarez, Chiho Kambara, Poojitha Rajasekar, Yuluang Wang, François Halloy, Jonathan Hall, Hans‐Jürgen Stark, Iris Martin, Petra Boukamp, Svitlana Kurinna   +10 more
wiley   +1 more source

Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property [PDF]

arXiv, 2007
In this paper we set up a representation theorem for tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property in terms of Ky Fan norms. Examples of tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property include unitarily invariant norms on finite factors (type ${\rm II}\sb 1$ factors and ...
arxiv  

Sharp double-exponent type bounds for the lemniscate sine function

Applicable Analysis and Discrete Mathematics
In this paper, we will establish sharp inequalities of the lemniscate sine function and the so-called weighted (p,q)-exponential type function, of which the latter is an extension of the weighted H?lder mean.
Tie-hong Zhao, M. Wang
semanticscholar   +1 more source

Spot‐14 and its paralog Spot‐14R regulate expression of metabolic and thermogenic pathway genes in murine brown and beige adipocytes

FEBS Letters, EarlyView.
Spot‐14 and Spot‐14R play distinct roles in regulating metabolism in brown and beige adipocytes. While both influence lipid and glucose pathways, Spot‐14 uniquely controls thermogenic gene expression. This dual regulation balances energy storage and heat production, highlighting potential therapeutic targets for obesity and metabolic disorders. Spot 14
Lidia Itzel Castro‐Rodríguez, Cristina Velez‐delValle, Claudia Patricia Hernández‐Mosqueira, Walid Kuri‐Harcuch   +3 more
wiley   +1 more source

Besov spaces of self-affine lattice tilings and pointwise regularity [PDF]

arXiv, 2015
We investigate Besov spaces of self-affine tilings of ${\Bbb R}^{n}$ and discuss various characterizations of those Besov spaces. We see what is a finite set of functions which generates the Besov spaces from a view of multiresolution approximation on self-affine lattice tilings of ${\Bbb R}^{n}$.
arxiv