Compactness of classical operators on weighted Banach spaces of holomorphic functions

• Autores: Alexander V. Abanin, Pham Trong Tien
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 69, Fasc. 1, 2018, págs. 1-15
• Idioma: inglés
• DOI: 10.1007/s13348-016-0185-z
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• Resumen

  • Motivated by some recent results on the boundedness and dynamical properties of the differentiation and integration operators in weighted Banach spaces of holomorphic functions, we study conditions on weights that guarantee the compactness of these two operators in the corresponding weighted spaces.