Results 11 to 20 of about 799 (89)

A minimum principle for plurisubharmonic functions [PDF]

, 2007
The main goal of this work is to give new and precise generalizations to various classes of plurisubharmonic functions of the classical minimum modulus principle for holomorphic functions of one complex variable, in the spirit of the famous lemma of ...
Zeriahi, Ahmed
core   +5 more sources

Extremal $\omega$-plurisubharmonic functions as envelopes of disc functionals: generalization and applications to the local theory [PDF]

MATHEMATICA SCANDINAVICA, 2012
We generalize the Poletsky disc envelope formula for the function $\sup \{u\in \mathcal{PSH}(X,\omega); u\leq \phi\}$ on any complex manifold $X$ to the case where the real $(1,1)$-current $\omega=\omega_1-\omega_2$ is the difference of two positive closed $(1,1)$-currents and $\varphi$ is the difference of an $\omega_1$-upper semicontinuous function ...
B. Magnússon
openaire   +4 more sources

Continuity of envelopes of unbounded plurisubharmonic functions [PDF]

Mathematische Zeitschrift, 2021
On bounded B-regular domains, we study envelopes of plurisubharmonic functions bounded from above by a function ϕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Maarten Nilsson
semanticscholar   +1 more source

$q$-plurisubharmonic functions and a generalized Dirichlet problem. [PDF]

Michigan Mathematical Journal, 1978
We characterise in this work the $q$-plurisubharmonic functions in terms of the theory of viscosity solutions. We show that an upper semicontinuous function is $q$-plurisubharmonic if and only if its complex Hessian has at most $q$ strictly negative eigenvalues in the viscosity sense.
Hunt, L. R., Murray, John J.
openaire   +5 more sources

Thurston norm and Euler classes of tight contact structures

Bulletin of the London Mathematical Society, Volume 55, Issue 6, Page 2976-2990, December 2023., 2023
Abstract Bill Thurston proved that taut foliations of hyperbolic 3‐manifolds have Euler classes of norm at most one, and conjectured that any integral second cohomology class of norm equal to one is realized as the Euler class of some taut foliation.
Steven Sivek, Mehdi Yazdi
wiley   +1 more source

On subvarieties of singular quotients of bounded domains

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel, Simone Diverio, Henri Guenancia   +2 more
wiley   +1 more source

Boundedness and Compactness of Hankel Operators on Large Fock Space

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
We introduce the BMO spaces and use them to characterize complex‐valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fp(ϕ) into a weighted Lebesgue space Lp(ϕ) when 1 ≤ p < ∞.
Xiaofeng Wang, Zhicheng Zeng, Paola Rubbioni   +2 more
wiley   +1 more source

The Weil–Petersson current on Douady spaces

Mathematische Nachrichten, Volume 294, Issue 4, Page 638-656, April 2021., 2021
Abstract The Douady space of compact subvarieties of a Kähler manifold is equipped with the Weil–Petersson current, which is everywhere positive with local continuous potentials, and of class C∞ when restricted to the locus of smooth fibers. There a Quillen metric is known to exist, whose Chern form is equal to the Weil–Petersson form. In the algebraic
Reynir Axelsson, Georg Schumacher
wiley   +1 more source