Weighted inequalities and the shape of approach regions
García, José ; Soria, Javier
Studia Mathematica, Tome 133 (1999), p. 261-274 / Harvested from The Polish Digital Mathematics Library

We characterize geometric properties of a family of approach regions by means of analytic properties of the class of weights related to the boundedness of the maximal operator associated with this family.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216618
@article{bwmeta1.element.bwnjournal-article-smv133i3p261bwm,
     author = {Jos\'e Garc\'\i a and Javier Soria},
     title = {Weighted inequalities and the shape of approach regions},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {261-274},
     zbl = {0973.42010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv133i3p261bwm}
}
García, José; Soria, Javier. Weighted inequalities and the shape of approach regions. Studia Mathematica, Tome 133 (1999) pp. 261-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i3p261bwm/

[00000] [AC] M. Andersson and H. Carlsson, Boundary convergence in non-tangential and non-admissible approach regions, Math. Scand. 70 (1992), 293-301. | Zbl 0781.32010

[00001] [CR] R. R. Coifman and R. Rochberg, Another characterization of BMO, Proc. Amer. Math. Soc. 79 (1980), 249-254. | Zbl 0432.42016

[00002] [CW] R. R. Coifman et G. Weiss, Analyse Harmonique Non-Commutative sur Certains Espaces Homogènes, Lecture Notes in Math. 242, Springer, 1971.

[00003] [Ja] B. Jawerth, Weighted inequalities for maximal operators: linearization, localization and factorization, Amer. J. Math. 108 (1986), 361-414. | Zbl 0608.42012

[00004] [NS] A. Nagel and E. M. Stein, On certain maximal functions and approach regions, Adv. Math. 54 (1984), 83-106. | Zbl 0546.42017

[00005] [Pa] J. W. Pan, Weighted norm estimates for certain maximal operators with approach regions, in: Lecture Notes in Math. 1494, Springer, 1992, 169-175.

[00006] [SS1] A. Sánchez-Colomer and J. Soria, Weighted norm inequalities for general maximal operators and approach regions, Math. Nachr. 172 (1995), 249-260. | Zbl 0842.42009

[00007] [SS2] A. Sánchez-Colomer and J. Soria, Ap and approach regions, in: Fourier Analysis and Partial Differential Equations, CRC Press, 1995, 311-315. | Zbl 0871.42016

[00008] [ST] J. O. Strömberg and A. Torchinsky, Weighted Hardy Spaces, Lecture Notes in Math. 1381, Springer, 1989.

[00009] [Su] J. Sueiro, On maximal functions and Poisson-Szegő integrals, Trans. Amer. Math. Soc. 298 (1986), 653-669. | Zbl 0612.32007