Precise inclusion relations among Bergman-Besov and Bloch-Lipschitz spaces and H infinity on the unit ball of C-N

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KAPTANOĞLU H. T., ÜREYEN A. E.

MATHEMATISCHE NACHRICHTEN, cilt.291, sa.14-15, ss.2236-2251, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 291 Sayı: 14-15
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/mana.201700236
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2236-2251
  • Anahtar Kelimeler: atomic decomposition, Bergman, Besov, Bloch, Lipschitz space, bounded holomorphic function, Hadamard gap series, inclusion, Littlewood-Paley inequality, Ryll-Wojtaszczyk polynomial, Sobolev imbedding, PROJECTIONS, POLYNOMIALS, KERNELS, HARDY
  • Anadolu Üniversitesi Adresli: Hayır

Özet

We describe exactly and fully which of the spaces of holomorphic functions in the title are included in which others. We provide either new results or new proofs. More importantly, we construct explicit functions in each space that show our relations are strict and the best possible. Many of our inclusions turn out to be sharper than the Sobolev imbeddings.