Abstract
Let Ω ∈ L s(S n−1), s ≥ 1, be a homogeneous function of degree zero, and let σ (0 < σ < n) and b be Lipschitz or BMO functions. In this paper, we establish the boundedness of the commutators [b, T Ω,σ ], generated by a homogeneous fractional integral operator T Ω,σ and function b, on the Herz-type Hardy spaces with variable exponent.
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Original Russian Text © H. Wang, 2017, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2017, No. 3, pp. 61-76.
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Wang, H. Commutators of homogeneous fractional integrals on Herz-type Hardy spaces with variable exponent. J. Contemp. Mathemat. Anal. 52, 134–143 (2017). https://doi.org/10.3103/S1068362317030049
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DOI: https://doi.org/10.3103/S1068362317030049