References
- A. Almeida and D. Drihem, Maximal, potential and singular type operators on Herz spaces with variable exponents, J. Math. Anal. Appl., 394(2012), 781-795. https://doi.org/10.1016/j.jmaa.2012.04.043
- A. Benedek, A.-P. Calderon and R. Panzone, Convolution operators on Banach space valued functions, Proc. Nat. Acad. Sci. U.S.A., 48(1962), 356-365. https://doi.org/10.1073/pnas.48.3.356
- L. Diening, P. Harjulehto, P. Hasto, Y. Mizuta and T. Shimomura, Maximal functions in variable exponent spaces: limiting cases of the exponent, Ann. Acad. Sci. Fenn. Math., 34(2009), 503-522.
- L. Diening, P. Harjulehto, P. Hasto and M. Ruzicka, Lebesgue and sobolev spaces with variable exponents, Lecture Notes in Mathematics 2017, Springer Verlag, Berlin, 2011.
- D. Drihem and R. Heraiz, Herz type Besov spaces of variable smoothness and integrability, Kodai Math. J., 40(2017), 31-57. https://doi.org/10.2996/kmj/1490083222
- D. Drihem and F. Seghiri, Notes on the Herz-type Hardy spaces of variable smoothness and integrability, Math. Inequal. Appl., 19(2016), 145-165.
- M. Izuki, Fractional integrals on Herz-Morrey spaces with variable exponent, Hiroshima Math. J., 40(2010), 343-355. https://doi.org/10.32917/hmj/1291818849
- M. Izuki and T. Noi, Boundedness of some integral operators and commutators on generalized Herz spaces with variable exponents, OCAMI Preprint Series(2011-15).
- Z. Liu and H. Wang, Boundedness of Marcinkiewicz integrals on Herz spaces with variable exponent, Jordan J. Math. Stat., 5(2012), 223-239.
- S. Lu and D. Yang, Some characterizations of weighted Herz-type Hardy spaces and their applications, Acta Math. Sinica (N.S.), 13(1997), 45-58. https://doi.org/10.1007/BF02560523
- A. Miyachi, Remarks on Herz-type Hardy spaces, Acta Math. Sinica (Engl. Ser.), 17(2001), 339-360. https://doi.org/10.1007/s101140100104
- E. Nakai and Y. Sawano, Hardy spaces with variable exponents and generalized Campanato spaces, J. Funct. Anal., 262(2012), 3665-3748. https://doi.org/10.1016/j.jfa.2012.01.004
- E. M. Stein, On the functions of Littlewood-Paley, Lusin, and Marcinkiewicz, Trans. Amer. Math. Soc., 88(1958), 430-466. https://doi.org/10.1090/S0002-9947-1958-0112932-2
- H. Wang, Commutators of Marcinkiewicz integrals on Herz spaces with variable exponent, Czech. Math. J., 66(2016), 251-269. https://doi.org/10.1007/s10587-016-0254-1
- H. Wang, The continuity of commutators on Herz-type Hardy spaces with variable exponent, Kyoto J. Math., 56(2016), 559-573. https://doi.org/10.1215/21562261-3600175
- H. B. Wang and Z. G. Liu, The Herz-type Hardy spaces with variable exponent and their applications, Taiwanese J. Math., 16(2012), 1363-1389. https://doi.org/10.11650/twjm/1500406739
- H. Wang, L. Zongguang and F. Zunwei, Boundedness of Fractional Integrals on Herz-type Hardy Spaces with variable exponent, Adv. Math. (China), 46(2017), 252-260.
- L. Xu, Boundedness of Marcinkiewicz integral on weighted Herz-type Hardy spaces, Anal. Theory Appl., 22(2006), 56-64. https://doi.org/10.1007/BF03218698