Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Ersin KIZGUT

doi:https://doi.org/10.15672/hujms.777911

Makale detayları

Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Yazarlar:

Ersin KIZGUT

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.949-962

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450547

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.777911

Özet:

 

We characterize continuity and compactness of the Volterra integral operator TgTgT_g with the non-constant analytic symbol ggg between certain weighted Fréchet or (LB)-spaces of analytic functions on the open unit disc, which arise as projective (resp. inductive) limits of intersections (resp. unions) of Bergman spaces of order 1<p<∞1<p<∞1<p<\infty induced by the standard radial weight (1−|z|2)α(1−|z|2)α(1-|z|^2)^\alpha for 0<α<∞0<α<∞0<\alpha<\infty. Motivated from the earlier results obtained for weighted Bergman spaces of standard weight, we also establish several results concerning the spectrum of the Volterra operators acting on the weighted Bergman Fréchet space Apα+Aα+pA^p_{\alpha+}, and acting on the weighted Bergman (LB)-space Apα−Aα−pA^p_{\alpha-}.

Makale detayları

Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Yazarlar: Ersin KIZGUT

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.949-962

Belge Tipi: Makale

Yayın Tarihi: 8/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450547

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.777911

Sayı

Yazarlar:

Ersin KIZGUT

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.949-962

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450547

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.777911