On weighted estimates of high-order Riesz-Bessel transformations generated by the generalized shift operator

Ekincioglu I., ŞERBETÇİ A.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.21, sa.1, ss.53-64, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10114-004-0323-5
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.53-64
  • Anahtar Kelimeler: reneralized shift operator, Riesz-Bessel transformations
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we establish sufficient conditions on weights which ensure that high-order Riesz-Bessel transformations generated by the generalized shift operator act boundedly from one weighted L-p-space into another.