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Boundary Value Problems for Functions Analytic on Multiply Connected Domains on Spaces with a General Weight

In: Algebraic Methods in Operator Theory

Author

Listed:
  • D. Kurtz

    (Rollins College, Department of Mathematics)

  • Yu. Latushkin

    (University of Missouri, Department of Mathematics)

  • I. Spitkovsky

    (College of William and Mary, Department of Mathematics)

Abstract

Necessary and sufficient conditions of Fredholmness, as well as index formulas, are obtained for differential boundary value problems with several unknown functions analytic on multiply connected domains. The complex conjugation and (forward or backward) shifts are involved in boundary conditions of above mentioned problems, and solutions are sought in weighted spaces with weights satisfying only the Hunt-Muckenhoupt-Wheeden condition. The results are of an explicit nature in the case of piecewise continuous coefficients.

Suggested Citation

  • D. Kurtz & Yu. Latushkin & I. Spitkovsky, 1994. "Boundary Value Problems for Functions Analytic on Multiply Connected Domains on Spaces with a General Weight," Springer Books, in: Raúl E. Curto & Palle E. T. Jørgensen (ed.), Algebraic Methods in Operator Theory, pages 350-360, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0255-4_33
    DOI: 10.1007/978-1-4612-0255-4_33
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