Adjoint of generalized Cesáro operators on analytic function spaces

• Autorzy: Naik Sunanda , Nath Pankaj K.

Identyfikatory

DOI

10.1515/jaa-2020-2019

• Języki publikacji: EN

Abstrakty

EN

In this article, we define a convolution operator and study its boundedness on mixed-norm spaces. In particular,we obtain awell-known result on the boundedness of composition operators given by Avetisyan and Stević in [K. Avetisyan and S. Stević, The generalized Libera transform is bounded on the Besov mixednorm, BMOA and VMOA spaces on the unit disc, Appl. Math. Comput. 213 (2009), no. 2, 304-311]. Also we consider the adjoint A^b,c for b > 0 of two parameter families of Cesáro averaging operators and prove the boundedness on Besov mixed-norm spaces B^p,q_α+(c−1) for c > 1.

Słowa kluczowe

EN

generalized Cesáro operators; Besov mixed-norm space; boundedness

PL

uogólnione operatory Cesáro; przestrzeń Besova; graniczność

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 2
• Strony: 185--192
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Naik Sunanda

• Department of Applied Sciences, Gauhati University, Guwahati 781014, India

autor

Nath Pankaj K.

• Department of Applied Sciences, Gauhati University, Guwahati 781014, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).