Found 989 Documents (Results 1–100)
Some recent results on multiplier ideal sheaves. (English) Zbl 07925356
Cheng, Shiu-Yuen (ed.) et al., Chern: a great geometer of the 20th century. Lectures given at the 2021 Tsinghua conference celebrating the 110th birthday of S.-S. Chern, Beijing, China, October 10–14, 2021. Somerville, MA: International Press. Surv. Differ. Geom. 26, 359-371 (2024).
MSC:
14-XX
On the extension of Kähler currents on compact Kähler manifolds: holomorphic retraction case. (English. French summary) Zbl 07915644
Characterizations of pluriharmonic Bloch functions and composition operators in bounded symmetric domains. (English) Zbl 07873955
Geometry of analytic continuation on complex manifolds – history, survey, and report. (English) Zbl 1542.32002
Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. II. (English) Zbl 07872185
Solution to Hessian type equation with prescribed singularities on compact Kähler manifolds. (English) Zbl 07848702
Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces. (English) Zbl 1537.32126
Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. IV: Product of open Riemann surfaces. (English) Zbl 1537.32025
Analytical approximations and Monge-Ampère masses of plurisubharmonic singularities. (English) Zbl 1532.32023
MSC:
32U05
On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry in \(\mathbb{C}^2\). (English) Zbl 07780721
Generalization of Finite Entropy Measures in Kähler Geometry. arXiv:2408.06824
Preprint, arXiv:2408.06824 [math.DG] (2024).
Jumping numbers of multiplier ideals and Kiselman’s Lelong numbers. (Chinese. English summary) Zbl 07802327
A characterization of the degenerate complex Hessian equations for functions with bounded \((p,m)\)-energy. (English) Zbl 1530.32016
Reviewer: Marek Jarnicki (Kraków)
Quasi-monotone convergence of plurisubharmonic functions. (English) Zbl 1529.32012
Reviewer: Duc Viet Vu (Köln)
On the restriction formula. (English) Zbl 1527.32029
The eigenvalue problem for the complex Monge-Ampère operator. (English) Zbl 1530.32017
Reviewer: Marek Jarnicki (Kraków)
Pluripotential theory on Teichmüller space. II: Poisson integral formula. (English) Zbl 1542.32003
Reviewer: Yuliang Shen (Suzhou)
Moser-Trudinger inequalities and complex Monge-Ampère equation. (English) Zbl 1531.32044
Reviewer: Rafał Czyż (Kraków)
Potential theory on an analytic surface. (Russian. English summary) Zbl 1527.32028
Concavity of minimal \(L^2\) Integrals related to multiplier ideal sheaves. (English) Zbl 1523.32044
Semiclassical Gevrey operators in the complex domain. (Opérateurs semi-classiques de classe Gevrey dans le domaine complexe.) (English. French summary) Zbl 1523.32008
Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain V-fibrations over open Riemann surfaces. (English) Zbl 1517.32020
On pluripotential theory associated to quaternionic \(m\)-subharmonic functions. (English) Zbl 1510.30010
On smoothing of plurisubharmonic functions on unbounded domains. (English) Zbl 1517.32105
Reviewer: Barbara Drinovec Drnovšek (Ljubljana)
Plurisubharmonic functions and real submanifolds of \(\mathbb{C}^n\). (English) Zbl 1515.32012
Reviewer: Ahmed Zeriahi (Toulouse)
MSC:
32U05
Quasicontinuity and Xing principle for \(m\)-subharmonic functions with respect to \(m\)-positive closed current. (English) Zbl 07831109
Weakly 1-completeness of holomorphic fiber bundles over compact Kähler manifolds. (English) Zbl 1522.32046
A note on pluriharmonic functions in the unit polydisc in \(\mathbb{C}^n\). (English) Zbl 1538.31003
A weak solution to the complex Hessian equation associated to an \(m\)-positive closed current. (English) Zbl 1495.32087
On the extension of quasiplurisubharmonic functions. (English) Zbl 1513.32046
Reviewer: Marek Jarnicki (Kraków)
Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions. (English) Zbl 1493.30076
The Landau-Bloch type theorems for \(K\)-quasiregular pluriharmonic mappings. (English) Zbl 1494.32002
Rooftop envelopes and residual plurisubharmonic functions. (English) Zbl 1503.32021
Reviewer: Rafał Czyż (Krakow)
Concavity of minimal \(L^2\) integrals related to multiplier ideal sheaves on weakly pseudoconvex Kähler manifolds. (English) Zbl 1487.32175
Continuous solutions to the complex \(m\)-Hessian type equation on strongly \(m\)-pseudoconvex domains in \(\mathbb{C}^n\). (English) Zbl 1487.32180
The Dini type condition in the existence of continuous solutions to the complex Monge-Ampère equations on compact Kähler manifolds. (English) Zbl 1487.32098
Every smoothly bounded \(p\)-convex domain in \(\mathbb{R}^n\) admits a \(p\)-plurisubharmonic defining function. (English) Zbl 1490.53011
Extremal functions for real convex bodies: simplices, strips, and ellipses. (English) Zbl 1525.32021
Reviewer: Gautam Bharali (Bangalore)
MSC:
32U35
On a problem of Chirka. (English) Zbl 1495.32086
Reviewer: Rafał Czyż (Krakow)
Holomorphic continuation of a formal series along analytic curves. (English) Zbl 1489.32002
Reviewer: Gerd Schmalz (Armidale)
On a family of quasimetric spaces in generalized potential theory. (English) Zbl 1495.32082
Reviewer: Marek Jarnicki (Kraków)
Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions. (English) Zbl 1479.31003
Reviewer: Guglielmo Feltrin (Udine)
Pluriharmonic definable functions in some \(o\)-minimal expansions of the real field. (English) Zbl 1524.31011
The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampère flows. (English. French summary) Zbl 1496.32060
Reviewer: Dan Coman (Syracuse)
A survey on Loewner chains and related problems for bounded balanced pseudoconvex domains in \(\mathbb{C}^N\). (English) Zbl 1524.32011
Polynomials associated to non-convex bodies. (English) Zbl 1499.32050
Reviewer: Zoltán Finta (Cluj-Napoca)
Interpolation of weighted extremal functions. (English) Zbl 1490.32004
Reviewer: Rafał Czyż (Krakow)
Every bounded pseudo-convex domain with Hölder boundary is hyperconvex. (English) Zbl 1481.32017
Reviewer: Marek Jarnicki (Kraków)
Diederich-Fornæss and Steinness indices for abstract CR manifolds. (English) Zbl 1481.32016
Reviewer: Judith Brinkschulte (Leipzig)
Transcendental versions in \(\mathbb{C}^n\) of the Nagata conjecture. (Versions transcendentales dans \(\mathbb{C}^n\) de la conjecture de Nagata.) (English. French summary) Zbl 1479.32015
Reviewer: Nicholas McCleerey (Ann Arbor)
The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group. (English) Zbl 1466.30003
The generalised Laplace operator and the topological characteristic of removable \(\overline{S}\)-singular sets of subharmonic functions. (English) Zbl 1475.32024
Reviewer: Marek Jarnicki (Kraków)
Regularity of geodesics in the spaces of convex and plurisubharmonic functions. (English) Zbl 1479.35502
Reviewer: Dan Coman (Syracuse)
Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function. (English) Zbl 1470.32100
Reviewer: Marek Jarnicki (Kraków)
A note on the smoothness of the Minkowski function. (English) Zbl 1470.32056
Reviewer: Łukasz Kosiński (Kraków)
Polynomially convex embeddings of even-dimensional compact manifolds. (English) Zbl 1480.32002
Reviewer: Alexander Izzo (Bowling Green)
Liouville-type theorems for functions of finite order. (Russian. English translation) Zbl 1474.32007
Ufim. Mat. Zh. 12, No. 4, 117-121 (2020); translation in Ufa Math. J., No. 4, 114-118 (2020).
On construction of positive closed currents with prescribed Lelong numbers. (English) Zbl 1534.32015
Cluster points of jumping coefficients and equisingularities of plurisubharmonic functions. (English) Zbl 1460.32072
Optimal \(L^2\) extension of sections from subvarieties in weakly pseudoconvex manifolds. (English) Zbl 1458.32013
\(L^2\) proof of Nishino’s rigidity theorem. (English) Zbl 1457.32030
Reviewer: Judith Brinkschulte (Leipzig)
Controlling products of currents by higher powers of plurisubharmonic functions. (English) Zbl 1538.32019
Reviewer: Slawomir Kołodziej (Kraków)
The Dirichlet problem for \(m\)-subharmonic functions on compact sets. (English) Zbl 1457.32088
Reviewer: Marek Jarnicki (Kraków)
MSC:
32U05
Weak solutions to the complex Hessian type equations for arbitrary measures. (English) Zbl 1453.32040
Domains with a continuous exhaustion in weakly complete surfaces. (English) Zbl 1457.32024
Reviewer: Marek Jarnicki (Kraków)
Extremal growth of polynomials. (English) Zbl 1463.32016
Reviewer: Harold P. Boas (College Station)
MSC:
32U35
A remark on the tautness modulo an analytic hypersurface of Hartogs-type domains. (English) Zbl 1452.32012
Ukr. Math. J. 72, No. 1, 136-148 (2020) and Ukr. Mat. Zh. 72, No. 1, 119-129 (2020).complex.
Projective logarithmic potentials. (English) Zbl 1457.32089
Reviewer: Dan Coman (Syracuse)
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