Operators on Mixed-Norm Amalgam Spaces via Extrapolation

作者：Lu, Y.; Zhou, J.^*; Wang, S.

来源：Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 2023, 58(4): 226-242.

DOI：10.3103/S1068362323040052

• BMO(R-n)
• mixed-norm space
• amalgam space
• weak space
• Littlewood-Paley function
• characterize

Let t is an element of (0,infinity), (->)p is an element of (1,infinity)(n) and (->)q is an element of [1,infinity)(n). We establish versions of the Rubio de Francia extrapolation theorem, and further obtain the bounds for some classical operators and the commutators in harmonic analysis on the mixed-norm amalgam space (L(->)p, L(->)q)t(R-n). As an application, a characterization of the mixed-norm amalgam spaces is given.

• 单位
  新疆大学