|
|
|
|
References
|
|
| |
| 1. |
D. R. Adams, Morrey spaces, Birkhäuser, 2015 |
| 2. |
K. F. Andersen, “Boundedness of Hausdorff operators on $L^p(\mathbb{R}^n)$, $H^1(\mathbb{R}^n)$, and $BMO(\mathbb{R}^n)$”, Acta Sci. Math. (Szeged), 69 (2003), 409–418 |
| 3. |
G. Brown, F. Móricz, “Multivariate Hausdorff operators on the spaces $L^p(\mathcal{R}^n)$”, J. Math. Anal. Appl., 271 (2002), 443–454 |
| 4. |
V. I. Burenkov, “Recent progress in the problem of the boundedness of classical operators of real analysis in general Morrey-type spaces. I”, Eurasian Math. J., 3:3 (2012), 11–32 |
| 5. |
V. I. Burenkov, “Recent progress in the problem of the boundedness of classical operators of real analysis in general Morrey-type spaces. II”, Eurasian Math. J., 4:1 (2013), 21–45 |
| 6. |
J. Chen, D. Fan, S. Wang, “Hausdorff operators on Euclidean spaces”, Appl. Math. J. Chinese Univ. (Ser. B) (4), 28 (2014), 548–564 |
| 7. |
C. Georgakis, “The Hausdorff mean of a Fourier–Stieltjes transform”, Proc. Am. Math. Soc., 116 (1992), 465–471 |
| 8. |
A. Hussain, G. Gao, “Multidimensional Hausdorff operators and commutators on Herz-type spaces”, J. Inequal. Appl., 594 (2013), 1–12 |
| 9. |
Y. Kanjin, “The Hausdorff operators on the real Hardy spaces $H^p(\mathbb{R})$”, Studia Math., 148 (2001), 37–45 |
| 10. |
J. C. Kuang, “Generalized Hausdorff operators on weighted Morrey–Herz spaces”, Acta Math. Sinica (Chin. Ser.), 55 (2012), 895–902, Chinese, English summaries (Chinese) |
| 11. |
A. Lerner, E. Liflyand, “Multidimensional Hausdorff operator on the real Hardy space”, J. Austr. Math. Soc., 83 (2007), 79–86 |
| 12. |
E. Liflyand, “Boundedness of multidimensional Hausdorff operators on $H^1(\mathbb{R}^n)$”, Acta Sci. Math. (Szeged), 74 (2008), 845–851 |
| 13. |
E. Liflyand, “Hausdorff operators on Hardy spaces”, Eurasian Math. J., 4:4 (2013), 101–141 |
| 14. |
E. Liflyand, F. Móricz, “The Hausdorff operator is bounded on the real Hardy space $H^1(\mathbb{R}^n)$”, Proc. Am. Math. Soc., 128 (2000), 1391–1396 |
| 15. |
F. Móricz, “Multivariate Hausdorff operators on the spaces $H^1(\mathbb{R}^n)$ and $BMO(\mathbb{R}^n)$”, Analysis Math., 31 (2005), 31–41 |
| 16. |
C. Morrey, “On the solutions of quasi-linear elliptic partial differential equations”, Trans. Amer. Math. Soc., 43 (1938), 126–166 |
| 17. |
J. Ruan, D. Fan, “Hausdorff operators on the power weighted Hardy spaces”, J. Math. Anal. Appl., 433 (2016), 31–48 |