A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator

DOI10.1007/S00006-021-01161-4zbMath1476.30163OpenAlexW3194454929WikidataQ124830496 ScholiaQ124830496MaRDI QIDQ2240771

Yanyan Li

Publication date: 4 November 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01161-4

zbMATH Keywords

Schwarz lemmaBochner-Martinelli formula\(k\)-Cauchy-Fueter Operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Related Items (1)

The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula

Cites Work

• Unnamed Item
• The Schwarz lemma for functions with values in \(C(V_{n,0})\)
• First order elliptic systems. A function theoretic approach
• Cohomology and massless fields
• On Penrose integral formula and series expansion of \(k\)-regular functions on the quaternionic space \(\mathbb H^n\)
• Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator
• The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
• The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group
• Schwarz-type lemmas associated to a Helmholtz equation
• Harmonic Function Theory
• Schwarz lemma in Euclidean spaces
• A General Schwarz Lemma for Kahler Manifolds
• Complex manifolds and mathematical physics
• The Szegö kernel for k-CF functions on the quaternionic Heisenberg group
• Möbius transformation and a version of Schwarz lemma in octonionic analysis
• The Schwarz lemma in Clifford analysis

This page was built for publication: A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator