Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 4

A new class of Hardy spaces in the plane

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Publication Date
2017-08-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Additionally we provide non-trivial examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce new spaces that are extensions of the Hardy spaces and prove a removable singularity result for holomorphic functions within these spaces.
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Key Findings & Data:We introduce new spaces that are extensions of the Hardy spaces and prove a removable singularity result for holomorphic functions within these spaces.
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Conclusion & Impact:Additionally we provide non-trivial examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hardy space · Removable singularity

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.

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Cite This Article

Alan, M. A., Göğüş, N. G. (2017). A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 4. https://ajindex.com/articles/1403013

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References (11)

  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.
  9. 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.
  10. 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
  11. Shrestha, K. R. Weighted Hardy spaces on the unit disk, Complex Anal. Oper. Theory 9 (2015), no. 6, 13771389.