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Sobolev, S.L. (1938) On a Theorem of Functional Analysis. Matematicheskii Sbornik, 4, 471-497.

has been cited by the following article:

• TITLE: Fractional Operators with Homogeneous Kernels in Two Weighted Herz Spaces with Variable Exponents

  AUTHORS: Yanqi Yang, Yaqi Zhang

  KEYWORDS: Fractional Integral, Muckenhoupt Weight, Herz Space, Variable Exponent

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.4, April 16, 2026

  ABSTRACT: By using the function decomposition of the two weighted Herz spaces with variable exponents and hierarchical estimation methods, as well as the boundedness of the fractional operators with homogeneous kernels on the Lebesgue spaces with variable exponent. The boundedness of these operators on the two weighted Herz spaces with variable exponents is obtained.