The Essential Norm of a Bloch-to- ${{Q}_{p}}$ Composition Operator
Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 49-59
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The ${{Q}_{p}}$ spaces coincide with the Bloch space for $p\,>\,1$ and are subspaces of $\text{BMOA}$ for $0\,<\,p\,\le \,1$ . We obtain lower and upper estimates for the essential norm of a composition operator from the Bloch space into ${{Q}_{p}}$ , in particular from the Bloch space into $\text{BMOA}$ .
Mots-clés :
47B38, 47B10, 46E40, 46E15, Bloch space, little Bloch space, BMOA, VMOA, Qp spaces, composition operator, compact operator, essential norm
Lindstróm, Mikael; Makhmutov, Shamil; Taskinen, Jari. The Essential Norm of a Bloch-to- ${{Q}_{p}}$ Composition Operator. Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 49-59. doi: 10.4153/CMB-2004-007-6
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author = {Lindstr\'om, Mikael and Makhmutov, Shamil and Taskinen, Jari},
title = {The {Essential} {Norm} of a {Bloch-to-} ${{Q}_{p}}$ {Composition} {Operator}},
journal = {Canadian mathematical bulletin},
pages = {49--59},
year = {2004},
volume = {47},
number = {1},
doi = {10.4153/CMB-2004-007-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-007-6/}
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TY - JOUR
AU - Lindstróm, Mikael
AU - Makhmutov, Shamil
AU - Taskinen, Jari
TI - The Essential Norm of a Bloch-to- ${{Q}_{p}}$ Composition Operator
JO - Canadian mathematical bulletin
PY - 2004
SP - 49
EP - 59
VL - 47
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%J Canadian mathematical bulletin
%D 2004
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