On an inequality of Friedrich's type

Author:
Milutin R. Dostanic

Journal:
Proc. Amer. Math. Soc. **125** (1997), 2115-2118

MSC (1991):
Primary 47A30

MathSciNet review:
1376758

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Abstract: In this paper the dependence of the constant in the inequality on simply connected bounded domains is found.

**1.**Catherine Bandle,*Isoperimetric inequalities and applications*, Monographs and Studies in Mathematics, vol. 7, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1980. MR**572958****2.**R. Courant and D. Hilbert,*Methods of mathematical physics. Vol. I*, Interscience Publishers, Inc., New York, N.Y., 1953. MR**0065391****3.**M. Dostanic,*The properties of the Cauchy transform on a bounded domain*, Journal of Operator Theory (to appear).**4.**Avner Friedman,*Partial differential equations of parabolic type*, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR**0181836****5.**O. A. Ladyzhenskaya and N. N. Uralt'seva,*Linear and Quasilinear elliptic equations*, Academic Press, New York, 1969.**6.**S. G. Mihlin,*Lectures on Mathematical Physics*, Moscow, 1968.**7.**I. N. Vekua,*Obobshchennye analiticheskie funktsii*, 2nd ed., “Nauka”, Moscow, 1988 (Russian). Edited and with a preface by O. A. Oleĭnik and B. V. Shabat. MR**977975**

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Additional Information

**Milutin R. Dostanic**

Affiliation:
Matematicki Fakultet, Studentski trg 16, Beograd, Serbia

DOI:
http://dx.doi.org/10.1090/S0002-9939-97-03798-2

Keywords:
Boundary value problems,
Cauchy operator

Received by editor(s):
November 29, 1995

Received by editor(s) in revised form:
February 7, 1996

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1997
American Mathematical Society