Geodesic
Inclusion Relations for New Function Spaces on Riemann Surfaces
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 466-476

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DOI

We introduce and study some new function spaces on Riemann surfaces. For certain parameter values these spaces coincide with the classical Dirichlet space, $\text{BMOA}$ , or the recently defined ${{\text{Q}}_{p}}$ space. We establish inclusion relations that generalize earlier known inclusions between the above-mentioned spaces.
DOI : 10.4153/CMB-2012-005-6
Mots-clés : 0F35, 30H25, 30H30, Bloch space, BMOA, Qp, Green's function, hyperbolic Riemann surface 
Aulaskari, Rauno; Rättyä, Jouni. Inclusion Relations for New Function Spaces on Riemann Surfaces. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 466-476. doi: 10.4153/CMB-2012-005-6
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     author = {Aulaskari, Rauno and R\"atty\"a, Jouni},
     title = {Inclusion {Relations} for {New} {Function} {Spaces} on {Riemann} {Surfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {466--476},
     year = {2013},
     volume = {56},
     number = {3},
     doi = {10.4153/CMB-2012-005-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-005-6/}
}
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