Zobrazeno 1 - 10
of 603
pro vyhledávání: '"32A25"'
We prove endpoint and sparse-like bounds for Bergman projectors on nonhomogeneous, radial trees $X$ that model manifolds with possibly unbounded geometry. The natural Bergman measures on $X$ may fail to be doubling, and even locally doubling, with re
Externí odkaz:
http://arxiv.org/abs/2410.23047
Autor:
Bhatnagar, Anjali, Borah, Diganta
We study several intrinsic properties of the Carath\'eodory and Szeg\"o metrics on finitely connected planar domains. Among them are the existence of closed geodesics and geodesics spirals, boundary behaviour of Gaussian curvatures, and $L^2$-cohomol
Externí odkaz:
http://arxiv.org/abs/2410.20955
Autor:
Liu, Congwen, Si, Jiajia
In this paper we study the subspace of functions in Bloch space that vanish at $\bfi:=(0^{\prime},i)$ (denoted by $\widetilde{\calB}$) on the Siegel upper half-space of $\bbC^n$. We find that the functions in $\widetilde{\calB}$ possess the following
Externí odkaz:
http://arxiv.org/abs/2409.20402
In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental estimates are satisfied and then strong holomorphic Morse inequalities h
Externí odkaz:
http://arxiv.org/abs/2409.16836
Autor:
Bao, Shijie, Guan, Qi'an
In this paper, we show the equivalence of the sharp effectiveness results of the strong openness property of multiplier ideal sheaves obtained in \cite{BG1} using $\xi-$Bergman kernels and in \cite{Guan19} using minimal $L^2$ integrals.
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Externí odkaz:
http://arxiv.org/abs/2408.16372
Autor:
Khanh, Tran Vu, Raich, Andrew
We establish general sufficient conditions for exact (and global) regularity in the $\bar\partial$-Neumann problem on $(p,q)$-forms, $0 \leq p \leq n$ and $1\leq q \leq n$, on a pseudoconvex domain $\Omega$ with smooth boundary $b\Omega$ in an $n$-di
Externí odkaz:
http://arxiv.org/abs/2408.04512
Autor:
Liu, Bingxiao, Zielinski, Dominik
We give an extensive study on the Bergman kernel expansions and the random zeros associated with the high tensor powers of a semipositive line bundle on a complete punctured Riemann surface. We prove several results for the zeros of Gaussian holomorp
Externí odkaz:
http://arxiv.org/abs/2407.15106
Autor:
Barrett, David E., Edholm, Luke D.
Dual pairs of interior and exterior Hardy spaces associated to a simple closed Lipschitz planar curve are considered, leading to a M\"obius invariant function bounding the norm of the Cauchy transform $\bf{C}$ from below. This function is shown to sa
Externí odkaz:
http://arxiv.org/abs/2407.13033
Autor:
Sun, Jingzhoun
We show the asymptotics of the Bergman kernel function near the smooth divisor at infinity of the Cheng-Yau metric on quasi-projective manifolds. In particular, we show that there is a quantum phenomenon for the points very close to the divisor at in
Externí odkaz:
http://arxiv.org/abs/2407.07483
We construct new $3$-dimensional variants of the classical Diederich-Fornaess worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenh\"{u}lle. We also show that their Bergman projections do not preserve the Sobol
Externí odkaz:
http://arxiv.org/abs/2406.04905