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Hardy Spaces of Certain Convolution Operator

Rajbala|Jugal Kishore Prajapat
경북대학교 자연과학대학 수학과|2020.03|Kyungpook Mathematical Journal|제60권 제1호|pp. 127-132|DOI 10.5666/KMJ.2020.60.1.128

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키워드

analytic functionsHardy spacesbounded analytic functions
주제분류수학

초록

In this article, we determine sufficient conditions on the parameters of a generalized convolution operator to ensure that it belongs to the Hardy space and to the space of bounded analytic functions. We exhibit the utility of these results by deducing several interesting examples.

Abstract

In this article, we determine sufficient conditions on the parameters of a generalized convolution operator to ensure that it belongs to the Hardy space and to the space of bounded analytic functions. We exhibit the utility of these results by deducing several interesting examples.

참고문헌 (16)

  1. A. Baricz, "Bessel transforms and Hardy space of generalized Bessel functions", Mathematica, 48(71), pp.127~136 (2006)
  2. B. C. Carlson, "Starlike and prestarlike hypergeometric functions", SIAM J. Math. Anal, 15, pp.737~745 (1984)
  3. P. L. Duren, "Theory of Hp space, Pure and Applied Mathematics 38" (1970), Academics Press
  4. A. Erdeilyi, "Higher transcendental functions, Vol. I" (1953), McGraw–Hill Book Company
  5. J. Hadamard, "Essai sur l’etude des fonctions donnees par leur developpement de Taylor", J. Math. Pures Appl, 8, pp.101~186 (1892)
  6. R. W. Ibrahim, "On generalized Srivastva-Owa fractional operators in the unit disk", Adv. Difference Equ., 55, pp.10~ (2011)
  7. R. W. Ibrahim, "Mathematics Without Boundaries", pp.273~284 (2014), Springer
  8. Y. Komatu, "On a one-parameter additive family of operators defined on analytic functions regular in the unit disk", Bull. Fac. Sci. Engrg. Chou Univ., 22, pp.1~22 (1979)
  9. R. J. Libera, "Some classes of regular univalent functions", Proc. Amer. Math. Soc., 16, pp.755~758 (1965)
  10. S. Ponnusamy, "The Hardy spaces of hypergeometric functions", Complex Var. Theory Appl., 29(1), pp.83~96 (1996)
  11. J. K. Prajapat, "Dependence conditions for analytic functions under fractional differintegral operators", Math. Sci. Res. J., 15(12), pp.333~340 (2011)
  12. A. Prudnikov, "Integral and series, Vol. 3. More special functions" (1990), Gordon & Breach Science Publishers
  13. H. M. Srivastva, "Univalent functions, fractional calculus and their applications" (1989), John Wiley & Sons
  14. J. Stankiewicz, "Some applications of Hadamard convolution in the theory of functions", Ann. Univ. Mariae Curie-Sk lodowska Sect. A, 40, pp.251~265 (1986)
  15. T. Suffridge, "Some remarks on convex maps of the unit disk", Duke Math. J, 37(4), pp.775~777 (1970)
  16. N. Yagmur, "Hardy space of generalized Struve functions", Complex Var. Elliptic Equ., 59(7), pp.929~936 (2014)

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