Two-parameter maximal functions associated with homogeneous surfaces in ℝn
Marletta, Gianfranco ; Ricci, Fulvio
Studia Mathematica, Tome 129 (1998), p. 53-65 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216540 
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     author = {Gianfranco Marletta and Fulvio Ricci},
     title = {Two-parameter maximal functions associated with homogeneous surfaces in $$\mathbb{R}$^n$
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     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {53-65},
     zbl = {0921.42014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv130i1p53bwm}
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Marletta, Gianfranco; Ricci, Fulvio. Two-parameter maximal functions associated with homogeneous surfaces in $ℝ^n$
            . Studia Mathematica, Tome 129 (1998) pp. 53-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i1p53bwm/

[00000] [B] J. Bourgain, Averages in the plane over convex curves and maximal operators, J. Anal. Math. 47 (1968), 69-85. | Zbl 0626.42012

[00001] [CRW] A. Carbery, F. Riccci, and J. Wright, Rev. Mat. Iberoamericana, to appear.

[00002] [C] Y.-K. Cho, Multiparameter maximal operators and square functions on product spaces, Indiana Univ. Math. J.43 (1994), 459-491. | Zbl 0805.42016

[00003] [CDMM] M. Cowling, S. Disney, G. Mauceri, and D. Müller, Damping oscillatory integrals, Invent. Math. 101 (1990), 237-260. | Zbl 0733.42011

[00004] [dG] M. de Guzmán, Differentiation of Integrals in ℝn, Lecture Notes in Math. 481, Springer, 1975.

[00005] [I] A. Iosevich, Maximal operators associated to families of flat curves in the plane, Duke Math. J. 76 (1995), 631-644.

[00006] [IS] A. Iosevich and E. Sawyer, Maximal averages over mixed homogenous surfaces, preprint. | Zbl 0921.42015

[00007] [M] G. Marletta, Maximal functions with mitigating factors in the plane, J. London Math. Soc., to appear. | Zbl 0947.42013

[00008] [MRZ] G. Marletta, F. Ricci, and J. Zienkiewicz, Two-parameter maximal functions associated with degenerate homogeneous surfaces in ℝ3, this issue, 67-75. | Zbl 0922.42014

[00009] [MSS] G. Mockenhaupt, A. Seeger, and C. Sogge, Wave front sets, local smoothing, and Bourgain's circular maximal theorem, Ann. of Math. 136 (1992), 207-218. | Zbl 0759.42016

[00010] [RS] F. Ricci and E. M. Stein, Multiparameter singular integrals and maximal functions, Ann. Inst. Fourier (Grenoble) 42 (1992), 637-670. | Zbl 0760.42008

[00011] [RdF] J. L. Rubio de Francia, Maximal functions and Fourier transforms, Duke Math. J. 53 (1986), 395-404.

[00012] [S] E. M. Stein, Maximal functions: spherical means, Proc. Nat. Acad. Sci. 73 (1976), 2174-2175. | Zbl 0332.42018

[00013] [SW] E. M. Stein and S. Wainger, Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc. 84 (1978), 1239-1295. | Zbl 0393.42010