Fine topology and estimates for potentials and subharmonic functions

DOI10.1007/BF03321791zbMath1227.31007MaRDI QIDQ643195

Ashot Yu. Shahverdian

Publication date: 28 October 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

fine topologysubharmonic functionsexceptional sets

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Fine potential theory; fine properties of sets and functions (31C40) Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Complete sequences and approximations in normed linear spaces
• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• On minimally thin and rarefied sets in \(R^ p\), p\(\geq 2\)
• Asymptotic growth of \(\delta\)-subharmonic functions of null order
• Slowly growing subharmonic function. II
• On the covering properties of certain exceptional sets in a half-space
• Slowly growing subharmonic functions. I
• Avalanches in networks of weakly coupled phase-shifting rotators
• Some results on thin sets in a half plane
• Uniqueness theorems for bounded holomorphic functions
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Theory of capacities
• Causality and dispersion relations for fixed momentum transfer
• A Comparison Between thin Sets and Generalized Azarin Sets
• A Uniqueness Theorem for Bounded Analytic Functions
• Estimates for potentials and $ \delta$-subharmonic functions outside exceptional sets
• A Tribute to Matts Essén
• Identity Theorems for Functions of Bounded Characteristic
• A DECOMPOSITION OF A QUASI-OSCILLATOR
• The Maximum Modulus of Normal Meromorphic Functions and Applications to Value Distribution
• On meromorphic functions of order zero
• Étude au voisinage de la frontière des fonctions subharmoniques positives dans un demi-espace
• Questions of regularity connected with the Phragmen-Lindelöf principle
• Questions of regularity connected with the Phragmen-Lindelöf principle
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