|
Best approach regions for potential spaces
Author(s):
José
A.
Raposo;
Javier
Soria
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1105-1109.
MSC (1991):
Primary 42B25, 42B20
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We characterize the approach regions so that the non-tangential maximal function is of weak-type on potential spaces, for which we use a simple argument involving Carleson measure estimates.
References:
- [AC]
- M. Andersson and H. Carlsson, Boundary convergence in non-nontangential and nonadmissible approach regions, Math. Scand. 70 (1992), 293 -301. MR 93j:31008
- [CS]
- M.J. Carro and J. Soria, Tent spaces over general approach regions and pointwise estimates, Pacific J. Math. 163 (1994), 217 -235. MR 95e:42012
- [Li]
- J.E. Littlewood, On a theorem of Fatou, J. London Math. Soc. 2 (1927), 172 -176.
- [NRS]
- A. Nagel, W. Rudin and J. Shapiro, Tangential boundary behavior of functions in Dirichlet-type spaces, Ann. Math. 116 (1982), 331-360. MR 84a:31002
- [NS]
- A. Nagel and E. Stein, On certain maximal functions and approach regions, Adv. Math. 54 (1984), 83-106. MR 86a:42026
- [SS]
- A. Sánchez-Colomer and J. Soria, Weighted norm inequalities for general maximal operators and approach regions, Math. Nachr. 172 (1995), 249-260. MR 96e:42023
- [St]
- E. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970. MR 44:7280
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
42B25, 42B20
Retrieve articles in all Journals with MSC
(1991):
42B25, 42B20
Additional Information:
José
A.
Raposo
Affiliation:
Departamento Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain
Email:
raposo@cerber.mat.ub.es
Javier
Soria
Affiliation:
Departamento Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain
Email:
soria@cerber.mat.ub.es
DOI:
10.1090/S0002-9939-97-03680-0
PII:
S 0002-9939(97)03680-0
Keywords:
Weak-type inequalities,
maximal functions,
approach regions
Received by editor(s):
August 9, 1994
Received by editor(s) in revised form:
October 4, 1995
Additional Notes:
This work has been partially supported by DGICYT PB94--0879
Communicated by:
J. Marshall Ash
Copyright of article:
Copyright
1997,
American Mathematical Society
|
Comments: webmaster@ams.org