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
- 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.
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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