Research Article

A new class of Hardy spaces in the plane

Volume: 46 Number: 4 August 1, 2017
EN

A new class of Hardy spaces in the plane

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.

Keywords

References

  1. Alan, M. A. and Gö§ü³, N. G. Poletsky-Stessin-Hardy spaces in the plane, Complex Anal. Oper. Theory 8 (2014), no. 5, 975990.
  2. Demailly, J. P. Mesure de Monge-Ampère et mesures plurisousharmonique, Math. Z. 194 (1987), 519564.
  3. Duren, P. L. Theory of Hp spaces, Pure and Applied Mathematics, Vol. 38 Academic Press, New York-London 1970.
  4. Göğüş, N. G. Structure of weighted Hardy spaces in the plane, Filomat 30, (2016) no. 2, 473-482.
  5. Jarnicki, P. and Pug, P. Extension of Holomorphic Functions, De Gruyter Expositions in Mathematics 34
  6. Järvi, P. Removable singularities for Hp-functions, Proc. Amer. Math. Soc. 86 (1982), 596 598.
  7. Lelong, P. Fonctions plurisousharmoniques et formes dierentielles positives, Gordon and Breach, New York, 1968.
  8. Parreau, M. Sur les moyennes des fonctions harmoniques et analytiques et la classication des surfaces de Riemann, Ann. Inst. Fourier (Grenoble) 3 (1951), 103197.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2017

Submission Date

August 1, 2016

Acceptance Date

December 10, 2016

Published in Issue

Year 2017 Volume: 46 Number: 4

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