Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions

DOI10.1007/BF03321747zbMath1184.30041MaRDI QIDQ1045732

Wolfgang Sprössig, Klaus Gürlebeck, K. L. Avetisian

Publication date: 15 December 2009

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

zbMATH Keywords

weighted Bergman spacemonogenic functionreal unit ballconjugate harmonic function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Linear operators on function spaces (general) (47B38) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (3)

Some New Aspects in Hypercomplex Analysis ⋮ Subharmonicity and a version of Riesz theorem on harmonic conjugates ⋮ On Riesz systems of harmonic conjugates in R3

Cites Work

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