Skip to main content
Log in

Lp-spaces of functions analytic in a region with piecewise analytic boundary

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

In this paper we study classes of analytic functions which are p-th power summable in a region with piecewise analytic boundary. We also study the spaces conjugate to these spaces and the question of the existence of a basis in these spaces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Gostekhizdat, Moscow (1952).

    Google Scholar 

  2. A. M. Shikhvatov, “Spaces of analytic functions in a region with an angle,” Matem. Zametki,18, No. 3, 411–420 (1975).

    Google Scholar 

  3. S. E. Warschawski, “On differentiability at the boundary in conformal mapping,” Proc. Amer. Math. Soc.,12, No. 4, 614–620 (1961).

    Google Scholar 

  4. T. G. Gegelia, “Boundedness of singular operators,” Soobshch. Akad. Nauk GruzSSR,20, No. 5, 517–523 (1958).

    Google Scholar 

  5. M. Sh. Birman et al., Functional Analysis [in Russian], Nauka, Moscow (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 20, No. 4, pp. 537–548, October, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shikhvatov, A.M. Lp-spaces of functions analytic in a region with piecewise analytic boundary. Mathematical Notes of the Academy of Sciences of the USSR 20, 858–864 (1976). https://doi.org/10.1007/BF01098903

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01098903

Keywords

Navigation