数学学报    2011 54 (2): 343-352   ISSN: 0583-1431  CN: 11-2039/O1  

奇异积分和位势积分交换子在极大Morrey空间上的有界性
叶晓峰
华东交通大学信息与计算科学系 南昌 330013
收稿日期 2010-09-10  修回日期 2010-12-07  网络版发布日期 2011-03-15
参考文献  


[1] Coifman R. R., Weiss G., Analyse Harmonique Non-commutative sur Certains Espaces Homog enes, Lecture Notes in Math., 1971, 242, Berlin: Springer-Verlag.

[2] Stromber J. O., Torchinsky A., Weighted Hardy spaces, Lecture Notes in Math., 1989, 1381, Berlin: Springer- Verlag.

[3] Meskhi A., Integral operators in grand Morrey spaces, arXiv: 1007.1186v1
[Math.FA] 7 jul 2010.

[4] Iwaniec T., Sbordone C., On the integrability of the Jacobian under minimal hypotheses, Arch. Rational Mech. Anal., 1992, 119: 129-143.

[5] Iwaniec T., Sbordone C., Weak minima of variational integrals, J. Reine Angew. Math., 1994, 454: 143-161.

[6] Iwaniec T., Sbordone C., Riesz Transforms and elliptic pde's with VMO coe cients, J. Analyse Math., 1998, 74: 183-212.

[7] Sbordone C., Grand Sobolev spaces and their applications to variational problems, Le Matematiche, 1996, LI (2): 335-347.

[8] Sbordone C., Nonlinear wlliptic equations with right hand side m nonstandard spaces, Rend. Sem. Mat. Fis. Modena, 1998, Supplemento al XLVI: 361-368.

[9] Cruz-uribe D., Fiorenza A., The boundedness of classical operators on variable Lp space, Annal. Acad. Sci. Fen. Math., 2006, 31: 239-264.

[10] Fiorenza A., Krbec M., On the domain and range of the maximal operator, Nagoya Math. J., 2000, 158: 43-61.

[11] Fiorenza A., Sbordone C., Existence and uniqueness results for solutions of nonlinear equations with right hand side in L1, Studia Math., 1998, 127(3): 223-231.

[12] Greco L., Iwaniec T., Sbordone C., Inverting the p-harmonic operator, Manuscripta Math., 1997, 92: 249- 258.

[13] Carozza M., Sbordone C., The distance to L in some function spaces and applications, Di erential Integral Equations, 1997, 10: 599-607.

[14] Kokilashvili V., Meskhi A., A note on the boundedness of the Hilbert Transform in weighted grand Lebesgue spaces, Georgian Math. J., 2009, 16: 547-551.

[15] Fiorenza A., Gupta B., Jain P., The maximal theorem in weighted grand Lebesgue spaces, Studia Math., 2008, 188(2): 123-133.

[16] Morrey C. B., On the solutions of quasi-linear elliptic partial di erential equations, Trans. Amer. Math. Soc., 1938, 43: 126-166.

[17] Chiarenza F., Frasca M., Morrey spaces and Hardy-Littlewood maximal function, Rend. Math., 1987, 7: 273-279.

[18] Fazio G. D., Ragusa M. A., Commutators and Morrey spaces, Bollettino U.M.I., 1991, 75(A): 323-332.

[19] Giaquinta M., Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton: Princeton Univ. Press, 1983.

[20] Peetre J., On the theory of Lp,λ spaces, J. Functional Analysis, 1969, 4(A): 71-87.

[21] Liu L. Z., The Interior estimathes in Morrey spaces for solutions of elliptic equations and weighted boundedness for commutators of singular integral operators, Acta Math. Scientia, 2005, 25(1): 89-94.


通讯作者: