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

Abdeljawad, Ahmed; Fernandez, Carmen; Galbis, Antonio; Toft, Joachim; ÜSTER, Rüya

doi:10.1007/s13398-020-00858-8

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, sa.3, 2020 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 114 Sayı: 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
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
Anahtar Kelimeler: Harmonic oscillator, Pilipovic spaces, MODULATION SPACES
İstanbul Üniversitesi Adresli: Hayır

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.