Functional Analysis Papers of the Week

We use a combination of the classical dead-end space method and the interpolation (by bounded holomorphic functions) method to affirmatively solve Corona and Gleason problems for familiar Banach spaces of holomorphic functions such as (Besov-)Lipschitz spaces of holomorphic functions on bounded symmetric domains (including the unit ball and polydisc) in $\mathbb{C}^n$, holomorphic mean (Besov-)Lipschitz spaces, (Besov-)Hardy-Sobolev spaces and some special classes of holomorphic mixed-norm (Bergman) spaces (including weighted Bergman spaces) as well as some special classes of holomorphic (mean) Besov-Lipschitz spaces on the unit ball in $\mathbb{C}^n$.

We study polynuclear growth (PNG) on the half-line with Poisson nucleations in the bulk and at the boundary.

We prove a pointwise domination of Poisson variances for Hörmander--Mikhlin multipliers on the real line.

Thus, we present the BD-VDE as a proof-of-concept requiring empirical evaluation.

We construct a separable complex Banach space whose underlying real space has the alternative Daugavet property, although the complex space fails the Daugavet property, thereby answering an open question posed by Kadets, Martin, and Paya in 2006.

Here, we used metagenomic sequencing to characterize the root-associated microbiomes of cultivated rice grown under flooded conditions.

This paper addresses the cooperative tracking problem for leader–follower multi-agent systems subject to fixed communication delays and strict velocity constraints.

In this article, we prove two compactness parabolic extrapolation theorems for linear operators and their commutators on parabolic weighted Lebesgue spaces.

We prove the existence of a sharp threshold $p_0 \approx 26.265\ldots$, such that for every $n\in\mathbb{N}$ and $p\geq p_0$, the volume maximizing section of the unit ball of $\ell_p^n$ is the section with Ball's hyperplane $(\frac{e_1+e_2}{\sqrt{2}})^\perp$, whereas for $p\in(2,p_0)$ the asymptotic maximizer as the ambient dimension $n\to\infty$ is the hyperplane orthogonal to the diagonal vector $\frac{e_1+\cdots+e_n}{\sqrt{n}}$.

We employed two‐sample Mendelian randomization (MR) integrating genome‐wide association data from Japanese population, followed by multi‐omics profiling, single‐cell transcriptomic analysis, and in vitro functional validation.

Abstract In this manuscript, we propose and analyze a Levenberg-Marquardt-Kaczmarz-$\Theta$ (LMK-$\Theta$) method for obtaining stable reconstructions for systems of nonlinear ill-posed problems between Hilbert spaces.

We prove that $Y$ has property-$(U)$, property-$(SU)$, property-$(wU)$ in $X$ if and only if $L^p(\mu,Y)$ has the corresponding property in $L^p(\mu,X)$.

We prove a space-time analogue of the HWI inequality of Otto-Villani for controlled kinetic equations with a semiconvex confining potential.

We study commutators $[(-\Delta_\theta)^{\frac{\epsilon}{2}},M_x]$ involving fractional Laplacians on quantum Euclidean spaces associated with arbitrary real antisymmetric matrices $\theta$.

We give negative answers to the AP-to-BAP and BAP-to-MAP questions for dual Banach spaces.