References
- Abdalmonem A, Abdalrhman O, Tao S. The boundedness of fractional integral with variable kernel on variable exponent Herz-Morrey spaces. J Appl Math Phys. 2016;4(4):787–795. doi: https://doi.org/10.4236/jamp.2016.44089
- Abdalmonem A, Abdalrhman O, Mohammed HE. Commutators of fractional integral with variable kernel on variable exponent Herz-Morrey spaces. Open J Math Anal. 2019;3(1):19–29. doi: https://doi.org/10.30538/psrp-oma2019.0029
- Abdolrazaghi F, Razani A. On the weak solutions of an overdetermined system of nonlinear fractional partial integro-differential equations. Miskolc Math Notes. 2019;20(1):3–16. doi: https://doi.org/10.18514/MMN.2019.2755
- Abdolrazaghi F, Razani A. A unique weak solution for a kind of coupled system of fractional Schrödinger equations. Opuscula Math. 2020;40(3):313–322. doi: https://doi.org/10.7494/OpMath.2020.40.3.313
- Cruz-Uribe D, Fiorenza A. Variable Lebesgue spaces. Foundations and Harmonic Analysis. New York: Springer; 2013. (Appl. Numer. Harmon. Anal).
- Izuki M, Noi T. Boundedness of fractional integrals on weighted Herz spaces with variable exponent. J Inequal Appl. 2016;199:1–15.
- Kenig CE. Harmonic analysis techniques for second order elliptic boundary value problems. Providence: Am. Math. Soc.; 1994.
- Lu S, Ding Y, Yan D. Singular integrals and related topic. Singapore: World Scientific Publishing; 2006.
- Lu S, Ding Y. Weighted norm inequalities for fractional integral operators with rough kernel. Canad J Math. 1998;50:29–39. doi: https://doi.org/10.4153/CJM-1998-003-1
- Polidoro S, Ragusa MA. Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term. Rev Mat Iberoam. 2008;24(3):1011–1046. doi: https://doi.org/10.4171/RMI/565
- Muckenhoupt B, Wheeden R. Weighted norm inequalities for singular and fractional integrals. Trans Am Math Soc. 1971;161:249–258. doi: https://doi.org/10.1090/S0002-9947-1971-0285938-7
- Chanillo S, Watson D, Wheeden RL. Some integral and maximal operators related to star like sets. Studia Math. 1993;107:223–255. doi: https://doi.org/10.4064/sm-107-3-223-255
- Ding Y, Lu SZ. Weighted norm inequalities for fractional integral operators with rough kernel. Canad J Math. 1998;50:29–39. doi: https://doi.org/10.4153/CJM-1998-003-1
- Izuki M. Fractional integrals on Herz-Morrey spaces with variable exponent. Hiroshima Math J. 2010;40:343–355. doi: https://doi.org/10.32917/hmj/1291818849
- Izuki M, Noi T. An intrinsic square function on weighted Herz spaces with variable exponent. J Math Inequalities. 2017;11:49–58.
- Ragusa MA. Homogeneous Herz spaces and regularity results. Nonlinear Anal Theory Methods Appl. 2009;71(12):e1909–e1914. doi: https://doi.org/10.1016/j.na.2009.02.075
- Ragusa MA. Parabolic Herz spaces and their applications. Appl Math Lett. 2012;25(10):1270–1273. doi: https://doi.org/10.1016/j.aml.2011.11.022
- Scapellato A. Regularity of solutions to elliptic equations on Herz spaces with variable exponents. Bound Value Probl. 2019;2019:2. doi: https://doi.org/10.1186/s13661-018-1116-6
- Scapellato A. Homogeneous Herz spaces with variable exponents and regularity results. Electron J Qual Theory Differ Equ. 2018;82:1–11. doi: https://doi.org/10.14232/ejqtde.2018.1.82
- Muckenhoupt B. Weighted norm inequalities for the Hardy maximal function. Trans Am Math Soc. 1972;165:207–226. doi: https://doi.org/10.1090/S0002-9947-1972-0293384-6
- Cruz-Uribe D, Wang L. Extrapolation and weighted norm inequalities in the variable Lebesgue spaces. Trans Am Math Soc. 2017;369:1205–1235. doi: https://doi.org/10.1090/tran/6730
- Bennett C, Sharpley R. Interpolation of operators. New York: Academic Press; 1988.