Universal holomorphic and harmonic functions with additional properties

DOI10.1023/B:AMHU.0000045528.75745.D2zbMath1124.30011OpenAlexW1973260251MaRDI QIDQ558279

María del Carmen Calderón-Moreno, Jürgen Müller

Publication date: 5 July 2005

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:amhu.0000045528.75745.d2

zbMATH Keywords

univalenceuniversal functionsharmonic functionsresidual set\(P\)-holomorphic functionslacunary holomorphic functionstotally omnipresent operators

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (6)

Maximal cluster sets on spaces of holomorphic functions ⋮ Chaotic differentiation operators on harmonic functions and simple connectivity ⋮ U-Operators ⋮ Holomorphic surjectivity near the boundary: topological and algebraic genericity ⋮ Universal locally univalent functions and universal conformal metrics with constant curvature ⋮ Dynamics of weighted composition operators on function spaces defined by local properties

Cites Work

• Harmonic analogues of G. R. MacLane's universal functions. II
• Universal entire functions with gap power series
• Holomorphic \(T\)-monsters and strongly omnipresent operators
• Restricted \(T\)-universal functions
• Dense linear manifolds of monsters
• Restricted \(T\)-universal functions on multiply connected domains
• Recent developments in harmonic approximation, with applications
• THE MAIN RESULTS ON SUFFICIENT CONDITIONS FOR AN ANALYTIC FUNCTION TO BE SCHLICHT
• Universal families and hypercyclic operators
• Strongly omnipresent operators: general conditions and applications to composition operators
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