Publication Cover
Applicable Analysis
An International Journal
Volume 13, 1982 - Issue 2
16
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Hp Representation of ultraspherical expansionsFootnote

Pages 139-148 | Published online: 10 May 2007

References

  • Askey , R. 1975 . Orthogonal Polynomials and Special Functions , Philadelphia : Siam . Regional Conf.Series in Applied Math
  • Bauer , K. W. and Rusheweyh , S. 1980 . Differential Operators for Partial Differential Equations and Function Theoretic Applications , Vol. 791 , New York : Springer-Verlag . Lecture Notes in Math
  • Chui , C. K. and Ching , C. H. 1973 . Analytic functions characterized by their means on an arc . Trans. Amer. Math. Soc. , 184 : 175 – 183 .
  • Chui , C. K. and Ching , C. H. 1974 . Mean boundary value problems and Riemann series . J. Approx. Theory , 10 : 324 – 336 .
  • Gilbert , R. P. 1974 . Constructive Methods for Elliptic Equations , Vol. 365 , New York : Springer-Verlag . Lecture Notes in Math
  • Gilbert , R. P. and Weinacht , R. J. 1976 . Function Theoretic Methods in Differential Equations , Vol. 8 , San Francisco : Pitman Publ. Co . Research Notes in Math
  • Huber , A. 1954 . On the uniqueness of generalized axially symmetric potentials . Ann. of Math. , 60 : 351 – 358 .
  • Kellogg , O. D. 1929 . Foundations of Potential Theory , New York : Frederick Ungar Pub. Co .
  • McCoy , P. A. 1979 . Mean boundary value problems for a class of elliptic equations in E3 . Proc. Amer. Math. Soc. , 76 : 123 – 128 .
  • McCoy , P. A. 1981 . “ Recapturing solutions of an elliptic partial differential equation ” . In Spectral Theory of Differential Operators , Edited by: Knowles , I and Lewis , R . 319 – 325 . North-Holland Publ. Co. .
  • Muckenhoupt , B. and Stein , E. 1965 . Classical expansions and their relation to conjugate harmonic functions, . Trans. Amer. Math. Soc. , 118 : 17 – 92 .
  • Patil , D. J. 1972 . Representation ofHρ-functions . Bull. Amer. Math. Soc. , 78 : 617 – 620 .
  • Rusheweyh , S. 1976 . “ Hardy spaces of λ-harmonic functions ” . In Function Theoretic Methods in Differential Equations , Vol. 8 , Pitman Publ. Co, San Francisco . Research Notes in Math
  • Tsuji , M. 1958 . Potential Theory in Modern Function Theory , Tokyo : Maruzen Co. Ltd .
  • Zarantonello , S. 1978 . A representation of Hρ functions with . Pacific J. Math. , 79 : 27 – 282 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.