Commutators of parabolic fractional integrals with variable kernels in vanishing generalized variable Morrey spaces

Ekincioglu I., Khaligova S. Z., Serbetci A.

POSITIVITY, cilt.26, sa.5, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s11117-022-00947-5
  • Dergi Adı: POSITIVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Business Source Elite, Business Source Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Parabolic fractional integral with rough kernel, Vanishing generalized variable Money spaces, Commutators, BMO spaces, MAXIMAL OPERATOR, HARDY-SPACES, EXPONENT, EQUATIONS, FUNCTIONALS, LEBESGUE
  • Ankara Üniversitesi Adresli: Evet

Özet

We obtain the boundedness of parabolic fractional integral operators T-Omega,T-alpha with variable kernels Omega(., .) belonging to L-infinity(R-n) x L-s(Sn-1), s > n/(n - alpha), and their commutators [b, T-Omega,T-alpha] with BMO functions in variable exponent generalized Morrey spaces M-p(.),M-phi and variable exponent vanishing generalized Money spaces VMp(.),phi. We find the sufficient conditions on the pair (phi, psi) which ensures the boundedness of the operators T-Omega,T-alpha and [b, T-Omega,T-alpha] from M-p(.),M-phi to M-q(.),M-psi and from VMp(.),phi to VMq(.),psi.