References
Besicovitch, A. S., On Kakeya's problem and a similar one.Math. Z.,27 (1928), 231–320.
Cordoba, A. & Fefferman, R., On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier Analysis.Preprint.
deGuzmán, M.,Differentiation of integrals in R n. Lecture Notes in Mathematics,481. Springer 1975.
Jessen, B., Marcinkiewicz, J. &Zygmund, A., Note on differentiability of multiple integrals.Fund. Math. 25 (1935), 217–234.
Perron, O., Über einen Satz von Besicovitch.Math. Z.,28 (1928), 312–320.
Rademacher, H., A new construction of the Perron tree.Studies in Mathematical Analysis (edited by Gilbarg, Solomon and others). Stanford 1962.
Schoenberg, I. J., On the Besicovitch-Perron solution of the Kakeya problem.Studies in Mathematical Analysis (edited by Gilbarg, Solomon and others). Stanford 1962.
Sjögren, P., WeakL 1 characterizations of Poisson integrals, Green potentials. andH p spaces. To appear inTrans. Amer. Math. Soc.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Strömberg, JO. Weak estimates on maximal functions with rectangles in certain directions. Ark. Mat. 15, 229–240 (1977). https://doi.org/10.1007/BF02386043
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02386043