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)
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)
Cites Work
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- Hardy-Littlewood inequalities and \(Q_p\)-spaces
- Equivalent norms on Dirichlet spaces of polyharmonic functions on the ball in \(\mathbb{R}^N\)
- Reproducing kernels for harmonic Bergman spaces of the unit ball
- Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
- A Littlewood-Paley type inequality
- Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
- Harmonic Bergman spaces with small exponents in the unit ball
- A note on polyharmonic functions
- On harmonic potential fields and the structure of monogenic functions
- Dirichlet and Hardy spaces of harmonic and monogenic functions
- Conjugate harmonic functions in Euclidean space: a spherical approach
- \(H^p\) spaces of several variables
- Harmonic Function Theory
- Inequalities for the Integral Means of Holomorphic Functions and their Derivatives in the Unit Ball of C n
- Quaternionic analysis
- Weighted Harmonic Bloch Spaces and Gleason's Problem
- On conjugate harmonic functions in Euclidean space
- On a Littlewood-Paley type inequality
- On the interplay between the Hilbert transform and conjugate harmonic functions
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