Weighted Inequalities for Fractional Type Operators with Some Homogeneous Kernels

Weighted Inequalities for Fractional Type Operators with Some Homogeneous Kernels

导出

摘要 In this paper, we study integral operators of the formappropriate weighted BMO and weak type estimates for certain weights satisfying the above inequality. We also give a Coifman type estimate for these operators. In this paper, we study integral operators of the formappropriate weighted BMO and weak type estimates for certain weights satisfying the above inequality. We also give a Coifman type estimate for these operators.

作者 María Silvina RIVEROS Marta URCIUOLO

机构地区 FaMAF-UNC

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第3期449-460,共12页 数学学报（英文版）

基金 Supported by Consejo Nacional de Investigaciones Científica y Tcnicas (CONICET) Secretaría de Ciencia y Tecnología de la Universidad Nacional de Córdoba (SECyT-UNC)

关键词 Fractional operators Calderon-Zygmund operators BMO Muckenhoupt weights Fractional operators, Calderon-Zygmund operators, BMO, Muckenhoupt weights

分类号 O177.6 [理学—基础数学]

引文网络
相关文献

参考文献9

1Ricci, F., SjSgren, P.: Two parameter maximal functions in the Heisenberg group. Math. Z., 199(4), 565-575 (1988).
2Godoy, T., Urciuolo, M.: About the Lp boundedness of some integral operators. Revista de la UMA, 38, 192-195 (1993).
3Riveros, M. S., Urciuolo, M.: Weighted inequalities for integral operators with some homogeneous kernels. Czech. Math. J., 55(2), 423-432 (2005).
4John, F., Nirenberg, L.: On functions of bounded mean oscilation. Comm. Pure AppL Math., 14, 415-426 (1961).
5Rocha, P., Urciuolo, M.: On the HP-Lq boundedness of some fractional integral operators. Czech. Math. J., 62(3), 625-635 (2012).
6Muckenhoupt, B., Wheeden, R.: Weighted norm inequalities for fractional integrals. Trans. Amer. Math. Soc., 192, 261-274 (1974).
7Grafakos, L.: Clasical Fourier Analysis, Second Edition, Springer Science Business Media, Berlin, 2008.
8Garcfa Cuerva, J., Rubio de Francia, J. L." Weighted Norm Inequalities and Related Topics, Elseviers Science Publishers B. V., Amsterdam, The Netherlands, 1985.
9Duoandikoetxea, J.: Fourier Analysis, Graduate Studies in Mathematics Volume 29, American Mathe- matical Society, Providence, Rhode Island, 2001.

1CHEN Wei,LIU Peide School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China.Weighted Inequalities in Martingale Spaces[J].Wuhan University Journal of Natural Sciences,2010,15(1):1-6.
2Wei CHEN,Peide LIU.Weighted Inequalities for the Generalized Maximal Operator in Martingale Spaces[J].Chinese Annals of Mathematics,Series B,2011,32(5):781-792.
3Cui Lan WU.A Characterization of Some Weighted Inequalities for the Vector-valued Weighted Maximal Function[J].Acta Mathematica Sinica,English Series,2010,26(11):2191-2198.
4Wenming Li,Tingting Zhang,Limei Xue.Weak Type Weighted Inequalities for the Commutators of the Multilinear Calderón-Zygmund Operators[J].Analysis in Theory and Applications,2015,31(3):244-252.
5陈伟,刘培德.SEVERAL WEAK-TYPE WEIGHTED INEQUALITIES IN ORLICZ MARTINGALE CLASSES[J].Acta Mathematica Scientia,2011,31(3):1041-1050. 被引量：3
6Zhu Xuexian (Peking University, China).WEIGHTED INEQUALITIES FOR CERTAIN MAXIMAL FUNCTIONS IN ORLICZ SPACES[J].Analysis in Theory and Applications,2001,17(4):65-76.
7李文明.WEIGHTED INEQUALITIES FOR MULTILINEAR POTENTIAL TYPE OPERATORS[J].数学物理学报（A辑）,2006,26(B12):1144-1152.
8左红亮,刘培德.WEIGHTED INEQUALITIES FOR THE GEOMETRIC MAXIMAL OPERATOR ON MARTINGALE SPACES[J].Acta Mathematica Scientia,2008,28(1):81-85. 被引量：2
9刘培德,侯友良.TRANSFORMS, DIFFERENTIAL SUBORDINATIONS AND A_p-WEIGHTED INEQUALITIES FOR BANACH-SPACE-VALUED REGULAR MARTINGALES[J].Acta Mathematica Scientia,1993,13(2):180-187. 被引量：1
10Chengwu Lu,Guoxiang Song.Image decomposition using adaptive regularization and div(BMO)[J].Journal of Systems Engineering and Electronics,2011,22(2):358-364. 被引量：2

Acta Mathematica Sinica,English Series

2013年第3期

浏览历史

内容加载中请稍等...

Weighted Inequalities for Fractional Type Operators with Some Homogeneous Kernels

参考文献9

相关作者

相关机构

相关主题

浏览历史