Characterization of parabolic fractional maximal function and its commutators in orlicz spaces

Guliyev V. S., Eroglu A., Abasova G.

International Scientific Conference of Modern Methods and Problems of Operator Theory and Harmonic Analysis and Their Applications, OTHA 2018, Rostov-on-Don, Russia, 22 - 27 April 2018, vol.291, pp.35-49 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 291
  • Doi Number: 10.1007/978-3-030-26748-3_2
  • City: Rostov-on-Don
  • Country: Russia
  • Page Numbers: pp.35-49
  • Keywords: BMO, Commutator, Orlicz space, Parabolic fractional maximal function
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we give a necessary and sufficient condition for the boundedness of the parabolic fractional maximal operator and its commutators in Orlicz spaces.