Abstract and Applied Analysis (Jan 2014)

Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces

  • Haiying Li,
  • Tianshui Ma

DOI
https://doi.org/10.1155/2014/897389
Journal volume & issue
Vol. 2014

Abstract

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Let 0<p<∞, let -2<q<∞, and let φ be an analytic self-map of 𝔻 and g∈H(𝔻). The boundedness and compactness of generalized composition operators (Cφgf)(z)=∫0z‍f'(φ(ξ))g(ξ)dξ, z∈𝔻, f∈H(𝔻), from ℬμ (ℬμ,0) spaces to QK,ω(p,q) spaces are investigated.