The Essential Norm of a Bloch-to-Qp Composition Operator

Mikael Lindström; Shamil Makhmutov; Jari Taskinen

doi:10.4153/CMB-2004-007-6

The Essential Norm of a Bloch-to-Q_p Composition Operator

Mikael Lindström^*, Shamil Makhmutov, Jari Taskinen

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

21 اقتباسات (Scopus)

ملخص

The Q_p spaces coincide with the Bloch space for p > 1 and are subspaces of BMOA for 0 < p ≤ 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 BMOA.

اللغة الأصلية	English
الصفحات (من إلى)	49-59
عدد الصفحات	11
دورية	Canadian Mathematical Bulletin
مستوى الصوت	47
رقم الإصدار	1
المعرِّفات الرقمية للأشياء	https://doi.org/10.4153/CMB-2004-007-6
حالة النشر	Published - مارس 2004

ASJC Scopus subject areas

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الوصول إلى المستند

10.4153/CMB-2004-007-6

الملفات والروابط الأخرى

قم بذكر هذا

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abstract = "The Qp spaces coincide with the Bloch space for p > 1 and are subspaces of BMOA for 0 < p ≤ 1. We obtain lower and upper estimates for the essential norm of a composition operator from the Bloch space into Qp, in particular from the Bloch space into BMOA.",

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author = "Mikael Lindstr{\"o}m and Shamil Makhmutov and Jari Taskinen",

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AU - Taskinen, Jari

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AB - The Qp spaces coincide with the Bloch space for p > 1 and are subspaces of BMOA for 0 < p ≤ 1. We obtain lower and upper estimates for the essential norm of a composition operator from the Bloch space into Qp, in particular from the Bloch space into BMOA.

KW - BMOA

KW - Bloch space

KW - Compact operator

KW - Composition operator

KW - Essential norm

KW - Little Bloch space

KW - Q spaces

KW - VMOA

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