Spanne Type Characterization of Parabolic Fractional Maximal Function and Its Commutators in Parabolic Generalized Orlicz–Morrey Spaces

Guliyev V., Eroglu A., Abasova G.

International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020, Rostov-on-Don, Russia, 26 - 30 April 2020, vol.357, pp.161-177 identifier

  • Nəşrin Növü: Conference Paper / Full Text
  • Cild: 357
  • Doi nömrəsi: 10.1007/978-3-030-77493-6_10
  • Çap olunduğu şəhər: Rostov-on-Don
  • Ölkə: Russia
  • Səhifə sayı: pp.161-177
  • Açar sözlər: BMO, Commutator, Parabolic fractional maximal operator, Parabolic generalized Orlicz–Morrey space
  • Adres: Bəli

Qısa məlumat

In this paper, we shall give necessary and sufficient conditions for the Spanne type boundedness of the parabolic fractional maximal operator and its commutators on parabolic generalized Orlicz–Morrey spaces, res-pectively. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators.