JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 62-72.doi: 10.6040/j.issn.1671-9352.0.2022.624

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Bilinear θ-type Calderón-Zygmund operators on generalized weighted variable exponent Morrey spaces

RUI Li, LU Guanghui*, LI Xuemei   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2024-04-12

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Abstract: Via the boundedness of the bilinear θ-type Calderón-Zygmund operators in the variable index Lebesgue space and the control relations in the function spaces, and assuming that the functions u meet certain conditions, the authors prove that the bilinear θ-type Calderón-Zygmund operators are bounded from product generalized weighted variable exponent Morrey spaces to generalized weighted variable exponent Morrey spaces. Furthermore, the authors also prove that the commutators generated by the bilinear θ-type Calderón-Zygmund operators and b1,b2∈BMO(Rn)are bounded on generalized weighted variable exponent Morrey spaces.

Key words: Morrey type space, weighted, variable exponent, Calderón-Zygmund operator, commutator, BMO space

CLC Number: 

  • O174.2
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