Characterizations of a class of Pilipovic spaces by powers of harmonic oscillator


Abdeljawad A., Fernandez C., Galbis A., Toft J., ÜSTER R.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.114, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 114 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s13398-020-00858-8
  • Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

Özet

We show that a smooth function integral on R-d belongs to the Pilipovic space H (R-d) or the Pilipovic space H-0 (R-d), if and only if the L-p norm of H-d(N) f for N >= 0, satisfy certain types of estimates. Here H-d = vertical bar x vertical bar(2) - Delta(x) is the harmonic oscillator.