Research Article
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Year 2017, Volume: 46 Issue: 4, 559 - 565, 01.08.2017
https://izlik.org/JA99RB52PD

Abstract

References

  • Alan, M. A. and Gö§ü³, N. G. Poletsky-Stessin-Hardy spaces in the plane, Complex Anal. Oper. Theory 8 (2014), no. 5, 975990.
  • Demailly, J. P. Mesure de Monge-Ampère et mesures plurisousharmonique, Math. Z. 194 (1987), 519564.
  • Duren, P. L. Theory of Hp spaces, Pure and Applied Mathematics, Vol. 38 Academic Press, New York-London 1970.
  • Göğüş, N. G. Structure of weighted Hardy spaces in the plane, Filomat 30, (2016) no. 2, 473-482.
  • Jarnicki, P. and Pug, P. Extension of Holomorphic Functions, De Gruyter Expositions in Mathematics 34
  • Järvi, P. Removable singularities for Hp-functions, Proc. Amer. Math. Soc. 86 (1982), 596 598.
  • Lelong, P. Fonctions plurisousharmoniques et formes dierentielles positives, Gordon and Breach, New York, 1968.
  • Parreau, M. Sur les moyennes des fonctions harmoniques et analytiques et la classication des surfaces de Riemann, Ann. Inst. Fourier (Grenoble) 3 (1951), 103197.
  • Poletsky, E. A. and Stessin, M. I. Hardy and Bergman spaces on hyperconvex domains and their composition operators, Indiana Univ. Math. J. 57 (2008), no. 5, 21532201.
  • Şahin, S., Poletsky-Stessin Hardy spaces on domains bounded by an analytic Jordan curve in C, Complex Var. Elliptic Equ. 60 (2015), no. 8, 11141132
  • Shrestha, K. R. Weighted Hardy spaces on the unit disk, Complex Anal. Oper. Theory 9 (2015), no. 6, 13771389.

A new class of Hardy spaces in the plane

Year 2017, Volume: 46 Issue: 4, 559 - 565, 01.08.2017
https://izlik.org/JA99RB52PD

Abstract

We introduce new spaces that are extensions of the Hardy spaces and prove a removable singularity result for holomorphic functions within these spaces. Additionally we provide non-trivial examples.

References

  • Alan, M. A. and Gö§ü³, N. G. Poletsky-Stessin-Hardy spaces in the plane, Complex Anal. Oper. Theory 8 (2014), no. 5, 975990.
  • Demailly, J. P. Mesure de Monge-Ampère et mesures plurisousharmonique, Math. Z. 194 (1987), 519564.
  • Duren, P. L. Theory of Hp spaces, Pure and Applied Mathematics, Vol. 38 Academic Press, New York-London 1970.
  • Göğüş, N. G. Structure of weighted Hardy spaces in the plane, Filomat 30, (2016) no. 2, 473-482.
  • Jarnicki, P. and Pug, P. Extension of Holomorphic Functions, De Gruyter Expositions in Mathematics 34
  • Järvi, P. Removable singularities for Hp-functions, Proc. Amer. Math. Soc. 86 (1982), 596 598.
  • Lelong, P. Fonctions plurisousharmoniques et formes dierentielles positives, Gordon and Breach, New York, 1968.
  • Parreau, M. Sur les moyennes des fonctions harmoniques et analytiques et la classication des surfaces de Riemann, Ann. Inst. Fourier (Grenoble) 3 (1951), 103197.
  • Poletsky, E. A. and Stessin, M. I. Hardy and Bergman spaces on hyperconvex domains and their composition operators, Indiana Univ. Math. J. 57 (2008), no. 5, 21532201.
  • Şahin, S., Poletsky-Stessin Hardy spaces on domains bounded by an analytic Jordan curve in C, Complex Var. Elliptic Equ. 60 (2015), no. 8, 11141132
  • Shrestha, K. R. Weighted Hardy spaces on the unit disk, Complex Anal. Oper. Theory 9 (2015), no. 6, 13771389.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Muhammed Ali Alan This is me

Nihat Gökhan Göğüş

Publication Date August 1, 2017
IZ https://izlik.org/JA99RB52PD
Published in Issue Year 2017 Volume: 46 Issue: 4

Cite

APA Alan, M. A., & Göğüş, N. G. (2017). A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics, 46(4), 559-565. https://izlik.org/JA99RB52PD
AMA 1.Alan MA, Göğüş NG. A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics. 2017;46(4):559-565. https://izlik.org/JA99RB52PD
Chicago Alan, Muhammed Ali, and Nihat Gökhan Göğüş. 2017. “A New Class of Hardy Spaces in the Plane”. Hacettepe Journal of Mathematics and Statistics 46 (4): 559-65. https://izlik.org/JA99RB52PD.
EndNote Alan MA, Göğüş NG (August 1, 2017) A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics 46 4 559–565.
IEEE [1]M. A. Alan and N. G. Göğüş, “A new class of Hardy spaces in the plane”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 4, pp. 559–565, Aug. 2017, [Online]. Available: https://izlik.org/JA99RB52PD
ISNAD Alan, Muhammed Ali - Göğüş, Nihat Gökhan. “A New Class of Hardy Spaces in the Plane”. Hacettepe Journal of Mathematics and Statistics 46/4 (August 1, 2017): 559-565. https://izlik.org/JA99RB52PD.
JAMA 1.Alan MA, Göğüş NG. A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics. 2017;46:559–565.
MLA Alan, Muhammed Ali, and Nihat Gökhan Göğüş. “A New Class of Hardy Spaces in the Plane”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 4, Aug. 2017, pp. 559-65, https://izlik.org/JA99RB52PD.
Vancouver 1.Muhammed Ali Alan, Nihat Gökhan Göğüş. A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Aug. 1;46(4):559-65. Available from: https://izlik.org/JA99RB52PD