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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 4

A new class of Hardy spaces in the plane

Nihat Gökhan GÖĞÜŞ
Muhammed Ali ALAN
Sayfa
559–565
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Additionally we provide non-trivial examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Additionally we provide non-trivial examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

GÖĞÜŞ, N. G., ALAN, M. A. (2022). A new class of Hardy spaces in the plane. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 4, 559–565. https://ajindex.com/articles/529915

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Kaynakça (4)

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  2. Göğüş, N. G. Structure of weighted Hardy spaces in the plane, Filomat 30, (2016) no. 2, 473-482.
  3. Jarnicki, P. and P ug, 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.
  4. Parreau, M. Sur les moyennes des fonctions harmoniques et analytiques et la classi cation 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.