Two-parameter maximal functions associated with homogeneous surfaces in
Gianfranco Marletta; Fulvio Ricci
Studia Mathematica (1998)
- Volume: 130, Issue: 1, page 53-65
- ISSN: 0039-3223
Access Full Article
topAbstract
topHow to cite
topMarletta, Gianfranco, and Ricci, Fulvio. "Two-parameter maximal functions associated with homogeneous surfaces in $ℝ^n$." Studia Mathematica 130.1 (1998): 53-65. <http://eudml.org/doc/216540>.
@article{Marletta1998,
abstract = {},
author = {Marletta, Gianfranco, Ricci, Fulvio},
journal = {Studia Mathematica},
keywords = {maximal functions; hypersurfaces; curvature},
language = {eng},
number = {1},
pages = {53-65},
title = {Two-parameter maximal functions associated with homogeneous surfaces in $ℝ^n$},
url = {http://eudml.org/doc/216540},
volume = {130},
year = {1998},
}
TY - JOUR
AU - Marletta, Gianfranco
AU - Ricci, Fulvio
TI - Two-parameter maximal functions associated with homogeneous surfaces in $ℝ^n$
JO - Studia Mathematica
PY - 1998
VL - 130
IS - 1
SP - 53
EP - 65
AB -
LA - eng
KW - maximal functions; hypersurfaces; curvature
UR - http://eudml.org/doc/216540
ER -
References
top- [B] J. Bourgain, Averages in the plane over convex curves and maximal operators, J. Anal. Math. 47 (1968), 69-85. Zbl0626.42012
- [CRW] A. Carbery, F. Riccci, and J. Wright, Rev. Mat. Iberoamericana, to appear.
- [C] Y.-K. Cho, Multiparameter maximal operators and square functions on product spaces, Indiana Univ. Math. J.43 (1994), 459-491. Zbl0805.42016
- [CDMM] M. Cowling, S. Disney, G. Mauceri, and D. Müller, Damping oscillatory integrals, Invent. Math. 101 (1990), 237-260. Zbl0733.42011
- [dG] M. de Guzmán, Differentiation of Integrals in , Lecture Notes in Math. 481, Springer, 1975.
- [I] A. Iosevich, Maximal operators associated to families of flat curves in the plane, Duke Math. J. 76 (1995), 631-644.
- [IS] A. Iosevich and E. Sawyer, Maximal averages over mixed homogenous surfaces, preprint. Zbl0921.42015
- [M] G. Marletta, Maximal functions with mitigating factors in the plane, J. London Math. Soc., to appear. Zbl0947.42013
- [MRZ] G. Marletta, F. Ricci, and J. Zienkiewicz, Two-parameter maximal functions associated with degenerate homogeneous surfaces in , this issue, 67-75. Zbl0922.42014
- [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. Zbl0759.42016
- [RS] F. Ricci and E. M. Stein, Multiparameter singular integrals and maximal functions, Ann. Inst. Fourier (Grenoble) 42 (1992), 637-670. Zbl0760.42008
- [RdF] J. L. Rubio de Francia, Maximal functions and Fourier transforms, Duke Math. J. 53 (1986), 395-404.
- [S] E. M. Stein, Maximal functions: spherical means, Proc. Nat. Acad. Sci. 73 (1976), 2174-2175. Zbl0332.42018
- [SW] E. M. Stein and S. Wainger, Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc. 84 (1978), 1239-1295. Zbl0393.42010
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.