TY - JOUR
T1 - Hermitian decomposition of continuous functions on a fractal surface
AU - Blaya, Ricardo Abreu
AU - Reyes, Juan Bory
AU - García, Tania Moreno
N1 - Funding Information:
Acknowledgments. The third author wishes to thank the IMPA, Rio de Janeiro, where the final version of the paper was written, for the invitation and hospitality. She was supported by the CAPES-MES project 028/07.
PY - 2009/3
Y1 - 2009/3
N2 - In this paper the Théodoresco transform is used to show that, under additional assumptions, each Hölder continuous function f defined on the boundary Γ of a fractal domain Ω ⊂ ℝ2n can be expressed as f = Ψ+ - Ψ-, where Ψ± are Hölder continuous functions on Γ and Hermitian monogenically extendable to Ω and to ℝ2n ? (Ω ∪ Γ) respectively.
AB - In this paper the Théodoresco transform is used to show that, under additional assumptions, each Hölder continuous function f defined on the boundary Γ of a fractal domain Ω ⊂ ℝ2n can be expressed as f = Ψ+ - Ψ-, where Ψ± are Hölder continuous functions on Γ and Hermitian monogenically extendable to Ω and to ℝ2n ? (Ω ∪ Γ) respectively.
KW - Fractal geometry
KW - Hermitian Clifford analysis
KW - Théodoreco transform
UR - http://www.scopus.com/inward/record.url?scp=63849218243&partnerID=8YFLogxK
U2 - 10.1007/s00574-009-0006-z
DO - 10.1007/s00574-009-0006-z
M3 - Artículo
AN - SCOPUS:63849218243
SN - 1678-7544
VL - 40
SP - 107
EP - 115
JO - Bulletin of the Brazilian Mathematical Society
JF - Bulletin of the Brazilian Mathematical Society
IS - 1
ER -