Continuity of the maximal commutators in Sobolev spaces

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참고문헌 (47)

1. M. Agcayazi, "A note on maximal commutators and commutators of maximal functions", J. Math. Soc. Japan, 67(2), pp.581~593 (2015)[DOI]
2. J. M. Aldaz, "Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities", Trans. Amer. Math. Soc, 359(5), pp.2443~2461 (2007)[DOI]
3. A. M. Alphonse, "An end point estimate for maximal commutators", J. Fourier Anal. Appl, 6(4), pp.449~456 (2000)[DOI]
4. D. Beltran, "Continuity of the gradient of the fractional maximal operator on W1,1(Rd), to appear in Math", Res. Lett
5. D. Beltran, "Regularity of the centered fractional maximal function on radial functions", J. Funct. Anal, 279(8), pp.28~ (2020)[DOI]
6. D. Beltran, "Endpoint Sobolev continuity of the fractional maximal function in higher dimensions", Int. Math. Res. Not. IMRN, 2021(22), pp.17316~17342 (2021)[DOI]
7. E. Carneiro, "Sunrise strategy for the continuity of maximal operators", J. Anal. Math, 148(1), pp.37~84 (2022)[DOI]
8. E. Carneiro, "Derivative bounds for fractional maximal functions", Trans. Amer. Math. Soc, 369(6), pp.4063~4092 (2017)[DOI]
9. E. Carneiro, "Endpoint Sobolev and BV continuity for maximal operators", J. Funct. Anal, 273(10), pp.3262~3294 (2017)[DOI]
10. E. Carneiro, "On the regularity of maximal operators", Proc. Amer. Math. Soc, 136(12), pp.4395~4404 (2008)[DOI]
11. P. Chen, "Compactness of Riesz transform commutator on stratified Lie groups", J. Funct. Anal, 277(6), pp.1639~1676 (2019)[DOI]
12. F. Deringoz, "Commutators of fractional maximal operator on generalized Orlicz-Morrey spaces", Positivity, 22(1), pp.141~158 (2018)[DOI]
13. F. Deringoz, "Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator", Publ. Math. Debrecen, 90(1-2), pp.125~147 (2017)
14. X. Duong, "Commutators of Cauchy-Szego type integrals for domains in Cn with minimal smoothness", Indiana Univ. Math. J, 70(4), pp.1505~1541 (2021)[DOI]
15. Z. W. Fu, "Weighted multilinear Hardy operators and commutators", Forum Math, 27(5), pp.2825~2851 (2015)[DOI]
16. J. Garc´ıa-Cuerva, "Weighted norm inequalities for commutators of strongly singular integrals", Indiana Univ. Math. J, 40(4), pp.1397~1420 (1991)[DOI]
17. D. Gilbarg, "Elliptic Partial Differential Equations of Second Order" (1983), Springer
18. C. Gonz´alez-Riquelme, "On the continuity of maximal operators of convolution type at the derivative level", Israel J. Math, 253(2), pp.745~759 (2023)[DOI]
19. C. Gonz´alez-Riquelme, "BV continuity for the uncentered Hardy-Littlewood maximal operator", J. Funct. Anal, 281(2), pp.20~ (2021)[DOI]
20. V. S. Guliyev, "Some characterizations of Lipschitz spaces via commutators on generalized Orlicz-Morrey spaces", Mediterr. J. Math, 15(4), pp.19~ (2018)[DOI]
21. P. Haj lasz, "On approximate differentiability of the maximal function", Proc. Amer. Math. Soc, 138(1), pp.165~174 (2010)[DOI]
22. P. Haj lasz, "On boundedness of maximal functions in Sobolev spaces", Ann. Acad. Sci. Fenn. Math, 29(1), pp.167~176 (2004)
23. J. Hart, "Regularity and continuity of local multilinear maximal type operators", J. Geom. Anal, 31(4), pp.3405~3454 (2021)[DOI]
24. T. Heikkinen, "Regularity of the local fractional maximal function", Ark. Mat, 53(1), pp.127~154 (2015)[DOI]
25. J. Kinnunen, "The Hardy-Littlewood maximal function of a Sobolev function", Israel J. Math, 100, pp.117~124 (1997)[DOI]
26. J. Kinnunen, "The derivative of the maximal function", J. Reine Angew. Math, 503, pp.161~167 (1998)
27. J. Kinnunen, "Regularity of the fractional maximal function", Bull. London Math. Soc, 35(4), pp.529~535 (2003)[DOI]
28. E. H. Lieb, "Analysis, second edition, Graduate Studies in Mathematics", Amer. Math. Soc, 14 (2001)[DOI]
29. F. Liu, "Regularity of commutators of maximal operators with Lipschitz symbols", Taiwanese J. Math, 25(5), pp.1007~1039 (2021)[DOI]
30. F. Liu, "On the regularity of the multisublinear maximal functions", Canad. Math. Bull, 58(4), pp.808~817 (2015)[DOI]
31. F. Liu, "Sobolev regularity for commutators of the fractional maximal functions", Banach J. Math. Anal, 15(1), pp.36~ (2021)[DOI]
32. F. Liu, "Sobolev boundedness and continuity for commutators of the local Hardy-Littlewood maximal function", Ann. Fenn. Math, 47(1), pp.203~235 (2022)[DOI]
33. F. Liu, "Regularity and continuity of commutators of the Hardy-Littlewood maximal function", Math. Nachr, 293(3), pp.491~509 (2020)[DOI]
34. H. Luiro, "Continuity of the maximal operator in Sobolev spaces", Proc. Amer. Math. Soc, 135(1), pp.243~251 (2007)[DOI]
35. H. Luiro, "On the regularity of the Hardy-Littlewood maximal operator on subdomains of Rn", Proc. Edinb. Math. Soc, 53(1), pp.211~237 (2010)[DOI]
36. H. Luiro, "The variation of the maximal function of a radial function", Ark. Mat, 56(1), pp.147~161 (2018)[DOI]
37. H. Luiro, "The variation of the fractional maximal function of a radial function", Int. Math. Res. Not. IMRN, 2019(17), pp.5284~5298 (2019)[DOI]
38. J. Madrid, "Endpoint Sobolev and BV continuity for maximal operators II", Rev. Mat. Iberoam, 35(7), pp.2151~2168 (2019)[DOI]
39. C. Segovia, "Weighted inequalities for commutators of fractional and singular integrals", Publ. Mat, 35(1), pp.209~235 (1991)[DOI]
40. C. Segovia, "Higher order commutators for vector-valued Calder´on-Zygmund operators", Trans. Amer. Math. Soc, 336(2), pp.537~556 (1993)[DOI]
41. S. Shi, "On the compactness of commutators of Hardy operators", Pacific J. Math, 307(1), pp.239~256 (2020)[DOI]
42. H. Tanaka, "A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function", Bull. Austral. Math. Soc, 65(2), pp.253~258 (2002)[DOI]
43. S. Yang, "Gradient estimates via rearrangements for solutions of some Schrodinger equations", Anal. Appl. (Singap.), 16(3), pp.339~361 (2018)[DOI]
44. M. H. Yang, "Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces", Adv. Nonlinear Stud, 18(3), pp.517~535 (2018)[DOI]
45. M. H. Yang, "Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces", Sci. China Math, 60(10), pp.1837~1856 (2017)[DOI]
46. P. Zhang, "Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function", C. R. Math. Acad. Sci. Paris, 355(3), pp.336~344 (2017)[DOI]
47. P. Zhang, "Characterization of boundedness of some commutators of maximal functions in terms of Lipschitz spaces", Anal. Math. Phys, 9(3), pp.1411~1427 (2019)[DOI]

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