Abstract
The aim of this paper is to get the product
Author contribution: The author has accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: None declared.
Conflict of interest statement: The author declares no conflicts of interest regarding this article.
References
[1] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton, NJ, Princeton Univ Press, 1970.10.1515/9781400883882Search in Google Scholar
[2] L. Grafakos, “On multilinear fractional integrals,” Stud. Math., vol. 102, pp. 49–56, 1992.10.4064/sm-102-1-49-56Search in Google Scholar
[3] C. E. Kenig and E. M. Stein, “Multilinear estimates and fractional integration,” Math. Res. Lett., vol. 6, pp. 1–15, 1999.10.4310/MRL.1999.v6.n1.a1Search in Google Scholar
[4] B. Muckenhoupt and R. L. Wheeden, “Weighted norm inequalities for fractional integrals,” Trans. Amer. Math. Soc., vol. 192, pp. 261–274, 1974, https://doi.org/10.2307/1996833.Search in Google Scholar
[5] Y. Shi and X. X. Tao, “Weighted Lp boundedness for multilinear fractional integral on product spaces,” Anal. Theory Appl., vol. 24, no. 3, pp. 280–291, 2008.10.1007/s10496-008-0280-4Search in Google Scholar
[6] Y. Ding and S. Z. Lu, “Weighted norm inequalities for fractional integral operators with rough kernel,” Canad. J. Math., vol. 58, pp. 29–39, 1998.10.4153/CJM-1998-003-1Search in Google Scholar
[7] J. García-Cuerva and J. M. Martell, “Two-weight norm inequalities for maximal operator and fractional integrals on non-homogeneous spaces,” Indiana Univ. Math. J., vol. 50, pp. 1241–1280, 2001, https://doi.org/10.1512/iumj.2001.50.2100.Search in Google Scholar
[8] X. X. Tao and Y. Shi, “Multi-weighted boundedness for multilinear rough fractional integrals and maximal operators,” J. Math. Inequal., vol. 9, no. 1, pp. 219–234, 2015, https://doi.org/10.7153/jmi-09-20.Search in Google Scholar
[9] G. V. Welland, “Weighted norm inequalities for fractional integrals,” Proc. Amer. Math. Soc., vol. 51, no. 1, pp. 143–148, 1975, https://doi.org/10.1090/S0002-9939-1975-0369641-X.Search in Google Scholar
[10] J. M. Martell, “Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications,” Stud. Math., vol. 161, no. 2, pp. 113–145, 2004, https://doi.org/10.4064/sm161-2-2.Search in Google Scholar
[11] X. T. Duong and A. MacIntosh, “Singular integral operators with non-smooth kernels on irregular domains,” Rev. Mat. Iberoamericana, vol. 15, no. 2, pp. 233–265, 1999, https://doi.org/10.4171/RMI/273.Search in Google Scholar
[12] E. Fabes and N. Riviére, “Singular integrals with mixed homogeneity,” Stud. Math., vol. 27, pp. 19–38, 1966, https://doi.org/10.4064/sm-27-1-19-38.Search in Google Scholar
[13] R. R. Coifman and G. Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, (French) Étude de certaines intégrales singuliàres, Lecture Notes in Mathematics, vol. 242, Berlin and New York, Springer-Verlag, 1971.10.1007/BFb0058946Search in Google Scholar
[14] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Math. Notes, 28, Princeton, Princeton Univ. Press, 1982.10.1515/9780691222455Search in Google Scholar
[15] F. Gürbüz, “Parabolic generalized local Morrey space estimates of rough parabolic sublinear operators and commutators,” Adv. Math. (China), vol. 46, no. 5, pp. 765–792, 2017, https://doi.org/10.11845/sxjz.2015215b.Search in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston