Weighted Harmonic Bloch Spaces on the Ball
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study the family of weighted harmonic Bloch spaces , on the unit ball of . We provide characterizations in terms of partial and radial derivatives and certain radial differential operators that are more compatible with reproducing kernels of harmonic Bergman-Besov spaces. We consider a class of integral operators related to harmonic Bergman projection and determine precisely when they are bounded on . We define projections from to and as a consequence obtain integral representations. We solve the Gleason problem and provide atomic decomposition for all . Finally we give an oscillatory characterization of when -1.
Açıklama
Anahtar Kelimeler
Harmonic Bloch space, Bergman space, Reproducing kernel, Radial fractional derivative, Bergman projection, Duality, Gleason problem, Atomic decomposition, Oscillatory characterization, Unit Ball, Besov-Spaces, Reproducing Kernels, Bergman Projections, Lipschitz
Kaynak
Complex Analysis and Operator Theory
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
12
Sayı
5
