» A finite-order answer to a problem of Erd\H{o}s on maximum modulus points
13/07/26 09:00 from math.CV updates on arXiv.org
arXiv:2607.09462v1 Announce Type: new Abstract: In 1964, Erd\H{o}s asked whether, for a non-monomial entire function, the number of maximum modulus points on the circle \(|z|=r\) can become arbitrarily large as $r\to\infty$. In 1968, Her...

» Weak-type estimates for the Bergman projection on planar domains
13/07/26 09:00 from math.CV updates on arXiv.org
arXiv:2607.09642v1 Announce Type: new Abstract: We investigate the relationship between the weak-type regularity of the Bergman projection, $\Pi_{\Omega}$, of a simply connected domain $\Omega \subset \mathbb{C}$ and the boundary geometr...

» Functions and Means of Accretive Operators
13/07/26 09:00 from math.FA updates on arXiv.org
arXiv:2607.09152v1 Announce Type: new Abstract: Let $A$ be a bounded accretive operator on a Hilbert space and $f(t)$ an operator monotone function on $(0, \infty)$ with $f(0)>-\infty$. Then, for $\epsilon >0$, analytic function $f (A+\e...

» A complete ultrametric on von Neumann's incomplete tensor products
13/07/26 09:00 from math.OA updates on arXiv.org
arXiv:2607.09627v1 Announce Type: cross Abstract: We revisit von Neumann's theory of infinite tensor products of Hilbert spaces. On the set $\Gamma$ of equivalence classes of $C_0$-sequences, which labels the incomplete tensor products i...

» A rescaling principle for quasiregular curves with applications to hyperbolicity
13/07/26 09:00 from math.CV updates on arXiv.org
arXiv:2607.09353v1 Announce Type: cross Abstract: We prove a Miniowitz--Zalcman rescaling principle for quasiregular curves into calibrated manifolds. We have two main applications. First, we introduce Brody hyperbolicity adapted to our ...

» Approximation by quasi-projection operators and dual wavelet frames in Sobolev spaces
13/07/26 09:00 from math.FA updates on arXiv.org
arXiv:2607.09239v1 Announce Type: new Abstract: For a quasi-projection operator $Q_j(f,\phi, \widetilde\phi)$ formed by a compactly supported function $\phi$ and a compactly supported distribution $\widetilde\phi$ with dilation matrix $M...

» Unbranched Riemann domains over Stein spaces and Cartier divisors
13/07/26 09:00 from math.CV updates on arXiv.org
arXiv:0810.0782v4 Announce Type: replace Abstract: It is proved that an unbranched Riemann domain $\Pi : X\rightarrow Y$ over an arbitrary Stein complex space of dimension $n\geq 2$ is Stein if and only if $X$ is cohomologically $2$-comp...

» Upper Bounds for Hessian Matrices of Positive Solutions to Heat Equations on K\"ahler Manifolds
13/07/26 09:00 from math.SP updates on arXiv.org
arXiv:2607.09034v1 Announce Type: cross Abstract: We prove global and local upper bounds for the Hessian matrices of positive solutions to the heat equation on K\"ahler manifolds whose bisectional curvature is bounded from below. We also...