The Szegö kernel for k-CF functions on the quaternionic Heisenberg group

DOI10.1080/00036811.2017.1344649zbMath1379.30037OpenAlexW2728742597WikidataQ58272368 ScholiaQ58272368MaRDI QIDQ4596765

Yun Shi, Wei Wang

Publication date: 8 December 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1344649

zbMATH Keywords

Szegő kernelquaternionic Heisenberg grouptangential \(k\)-Cauchy-Fueter operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) CR structures, CR operators, and generalizations (32V05)

Related Items (7)

The Laguerre calculus on the nilpotent Lie groups of step two ⋮ Cauchy–Szegö commutators on weighted Morrey spaces ⋮ Estimates of Cauchy-Szegő kernel in Hardy spaces on nilpotent Lie groups of step two ⋮ A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator ⋮ The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group ⋮ The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group ⋮ An operator related to the sub-Laplacian on the quaternionic Heisenberg group

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