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- W2034798947 abstract "We consider a class of spaces of analytic functions on the unit disc which are Möbius invariant and whose topology is essentially determined by a conformal invariant seminorm. Standard examples of such spaces are the Bloch space, BMOA, the Dirichlet spaces and their recent generalizations QK , which make the object of our interest. We prove a general inequality for the seminorms of dilated functions, radial growth estimates, embedding theorems in Lp -spaces on the unit disc, as well as integral estimates of exponentials of functions in such spaces. Finally, we discuss some properties of the inner-outer factorization for those QK spaces which are contained in the Nevanlinna class." @default.
- W2034798947 created "2016-06-24" @default.
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- W2034798947 date "2004-06-10" @default.
- W2034798947 modified "2023-09-26" @default.
- W2034798947 title "Estimates in Möbius invariant spaces of analytic functions" @default.
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- W2034798947 doi "https://doi.org/10.1080/02781070410001731657" @default.
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