Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 141-147

WELL-POSEDNESS OF A RIEMANN–HILBERT PROBLEM ON d-REGULAR QUASIDISKS

Eric Schippers and Wolfgang Staubach

University of Manitoba, Department of Mathematics
Winnipeg, Manitoba, R3T 2N2, Canada; eric.schippers 'at' umanitoba.ca

Uppsala University, Department of Mathematics
Box 480, 751 06 Uppsala, Sweden; wulf 'at' math.uu.se

Abstract. We prove the well-posedness of a Riemann–Hilbert problem on d-regular quasidisks, with boundary data in a class of Besov spaces.

2010 Mathematics Subject Classification: Primary 30C62, 30E25, 35Q15; Secondary 46E35.

Key words: Besov spaces, d-sets, quasidisks, Riemann boundary value problem.

Reference to this article: E. Schippers and W. Staubach: Well-posedness of a Riemann–Hilbert problem on d-regular quasidisks. Ann. Acad. Sci. Fenn. Math. 42 (2017), 141-147.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4210