Polya's inequalities, global uniform integrability and the size of plurisubharmonic lemniscates

DOI10.1007/BF02383612zbMath1092.31005arXivmath/0402096MaRDI QIDQ2368529

Bensalem Jennane, Slimane Benelkourchi, Ahmed Zeriahi

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402096

zbMATH Keywords

plurisubharmonic functionslogarithmic capacityLelong classglobal uniform integrabilityGergell classPolya inequalities

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Potentials and capacities on other spaces (31C15) Plurisubharmonic functions and generalizations (32U05) Integration on analytic sets and spaces, currents (32C30) Capacity theory and generalizations (32U20)

Related Items (9)

Weighted pluricomplex energy. II. ⋮ Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity ⋮ On the size of multivariante polynomial lemniscates and the convergence of rational approximants ⋮ Bergman kernel and oscillation theory of plurisubharmonic functions ⋮ Weighted Bergman kernel, directional Lelong number and John-Nirenberg exponent ⋮ A remark on the continuous subsolution problem for the complex Monge-Ampère equation ⋮ A note on the approximation of plurisubharmonic functions ⋮ Complex Monge-Ampère equation for measures supported on real submanifolds ⋮ Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

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