Products of differentiation and composition operators on the Bloch space

• Autores: Yutian Wu, Hasi Wulan
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 1, 2012, págs. 93-107
• Idioma: inglés
• DOI: 10.1007/s13348-010-0030-8
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• Resumen

  • We consider linear product operators {DC_{\phi}} and {C_{\phi}D^{m}} acting on the Bloch space, where {C_{\phi}} is the composition operator and D m is the differentiation operator. The compactness criteria of the operators {DC_{\phi}} and {C_{\phi}D^{m}} on the Bloch space are established in terms of the norms of {\phi^n} in the Bloch space.