Extrapolation to Herz spaces with variable exponents and applications
This paper extends the extrapolation theory to Herz spaces with variable exponents. The extrapolation theory was applied to obtain the John-Nirenberg inequalities, the characterizations of BMO and the boundedness of the geometrical maximal operator. This extrapolation theory had been further refined in [\textit{K.-P. Ho}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 559--574 (2021; Zbl 1462.42030)] to obtain the boundedness of the spherical maximal function and the maximal Bochner-Riesz mean on Herz spaces with variable exponents.
scientific article; zbMATH DE number 7189304
scientific article