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• W2896591207 abstract "In a recent paper of ours, we proved that a special “harmonic conjugation” operator is not bounded in weighted Bergman spaces of quaternion‐valued functions in the 3D ball. In the present paper, we prove that, in contrast to the Bergman spaces case, the same operator is bounded in weighted Dirichlet spaces of quaternion‐valued functions in the 3D ball. Furthermore, applying another approach for a construction of harmonic conjugates, we extend the result to weighted Dirichlet spaces with 1 < p < ∞ ." @default.
• W2896591207 created "2018-10-26" @default.
• W2896591207 creator A5018096114 @default.
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• W2896591207 date "2018-10-17" @default.
• W2896591207 modified "2023-10-03" @default.
• W2896591207 title "On weighted Dirichlet spaces of monogenic functions in R3" @default.
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• W2896591207 doi "https://doi.org/10.1002/mma.5309" @default.
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