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Guzmán-Partida, Martha

A note on some operators acting on central Morrey spaces. (English) Zbl 1474.42097

Mat. Vesn. 70, No. 2, 155-160 (2018).
Summary: We prove boundedness of maximal commutators and convolution operators with generalized Poisson kernels on central Morrey spaces.

Cited in 1 Document

MSC:

42B35 Function spaces arising in harmonic analysis
26D10 Inequalities involving derivatives and differential and integral operators
44A35 Convolution as an integral transform

Keywords:

Morrey space; maximal commutator; Weinstein transform
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\textit{M. Guzmán-Partida}, Mat. Vesn. 70, No. 2, 155--160 (2018; Zbl 1474.42097)
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References:

[1] J. Alvarez, M. Guzm´an-Partida, J. Lakey,Spaces of boundedλ-central mean oscillation, Morrey spaces, andλ-central Carleson measures, Collect. Math.51(2000), 1-47. · Zbl 0948.42013
[2] J. Alvarez, M. Guzm´an-Partida, S. P´erez-Esteva,Harmonic extensions of distributions, Math. Nachr.280(2007), 1443-1466. · Zbl 1138.46032
[3] Y. Chen, K. Lau,Some new classes of Hardy spaces, J. Funct. Anal.84(1989), 255-278. · Zbl 0677.30030
[4] J. Garc´ıa-Cuerva,Hardy spaces and Beurling algebras, J. London Math. Soc.39(1989), 499- 513. · Zbl 0681.42014
[5] J. Garc´ıa-Cuerva, E. Harboure, C. Segovia, J. L. Torrea,Weighted norm inequalities for commutators of strongly singular integrals, Indiana Univ. Math. J.40(1991), 1397-1420. · Zbl 0765.42012
[6] J. Garc´ıa-Cuerva, J. L. Rubio de Francia,Weighted norm inequalities and related topics, North-Holland, Amsterdam, 1985.
[7] V. S. Guliyev,Generalized weighted Morrey spaces and higher order commutators of sublinear operators, Eurasian Math. J.3(2012), 33-61. · Zbl 1271.42019
[8] V. S. Guliyev, S. A. Aliyev,Boundedness of the parametric Marcinkiewicz integral operator and its commutators on generalized Morrey spaces, Georgian Math. J.19(2012), 195-208.
[9] Y. Komori-Furuya, K. Matsuoka, E. Nakai and Y. Sawano,Integral operators onBσ-MorreyCampanato spaces, Rev. Mat. Complut.26(2013), 1-32. · Zbl 1273.42023
[10] Y. Komori, T. Mizuhara,Notes on commutators and Morrey spaces, Hokkaido Math. J.32 (2003), 345-353. · Zbl 1044.42011
[11] R. Long,The spaces generated by blocks, Scientia Sinica Ser. A27(1984), 16-26. · Zbl 0533.46014
[12] S. Lu, D. Yang,The centralBM Ospaces and Littlewood-Paley operators, Approx. Theory Appl.11(1995), 72-94.
[13] K. Matsuoka,On some weighted Herz spaces and the Hardy-Littlewood maximal operator, Proc. Int. Symp. Banach and Function Spaces II, Kitakyushu, Japan (2006), 375-384. · Zbl 1243.42033
[14] C. Morrey,On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc.43(1938), 126-166. · Zbl 0018.40501
[15] J. Wittsten,Generalized axially symmetric potentials with distributional boundary values, Bull. Sci. Math.139(2015), 892-922. · Zbl 1330.31002
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