Harmonic Besov spaces with small exponents
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and Francis Ltd.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We study harmonic Besov spaces (Formula presented.) on the unit ball of (Formula presented.), where 0<p<1 and (Formula presented.). 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 show that the dual of harmonic Besov space (Formula presented.) is weighted Bloch space (Formula presented.) under certain volume integral pairing for 0<p<1 and (Formula presented.). Our other results are about growth at the boundary and atomic decomposition. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.
Açıklama
Anahtar Kelimeler
31B10, 42B35, 46E15, 46E22, atomic decomposition, boundary growth, duality, H. Hedenmalm, Harmonic Besov space, harmonic Bloch space, Primary: 31B05, Secondary: 26A33
Kaynak
Complex Variables and Elliptic Equations
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
65
Sayı
6
