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Estimates in Möbius...
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Aleman, AlexandruLund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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Estimates in Möbius invariant spaces of analytic functions.
- Article/chapterEnglish2004
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LIBRIS-ID:oai:lup.lub.lu.se:6a6d63d3-f3e3-48e6-8fd7-1bfab359f627
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https://lup.lub.lu.se/record/791167URI
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Language:English
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Summary in:English
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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 ${Cal Q}_K$, which make the object of our interest. We prove a general inequality for the seminorms of dilated functions, radial growth estimates, embedding theorems in $L^p$-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 ${Cal Q}_K$ spaces which are contained in the Nevanlinna class.
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Persson, Anna-MariaLund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)math-asi
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Matematik (naturvetenskapliga fakulteten)Matematikcentrum
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In:Complex Variables, Theory & Application49:7-9, s. 487-5101563-5066
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