| Title:
|
Weighted inequalities for anisotropic maximal functions (English) |
| Author:
|
Kokilashvili, Vachtang Michailovič |
| Author:
|
Rákosník, Jiří |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
110 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
384-393 |
| . |
| Category:
|
math |
| . |
| MSC:
|
42B25 |
| idZBL:
|
Zbl 0605.42016 |
| idMR:
|
MR820330 |
| DOI:
|
10.21136/CPM.1985.118255 |
| . |
| Date available:
|
2009-09-23T09:33:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118255 |
| . |
| Reference:
|
[1] L. Carleson P. Jones: Weighted norm inequalities and a theorem of Koosis.Mittag-Leffler Inst., Rep. No. 2, 1981. |
| Reference:
|
[2] C. Fefferman E. M. Stein: Some maximal inequalities.Amer. J. Math. Soc. 93 (1971), 107-115. MR 0284802, 10.2307/2373450 |
| Reference:
|
[3] A. E. Gatto C. E. Gutiérrez: On weighted norm inequalities for the maximal function.Studia Math. 81 (1983), 59-62. MR 0728196 |
| Reference:
|
[4] M. de Guzmán: A covering lemma with applications to differentiability of measures and singular integral operators.Studia Math. 34 (1970), 290-317. MR 0264022 |
| Reference:
|
[5] V. M. Kokilashvili J. Rákosník: Weighted inequalities for vector-valued anisotropic maximal functions.(To appear in Z. Anal. Anwendungen (1985).) MR 0818979 |
| Reference:
|
[6] P. Koosis: Moyennes quadratiques pondérées de fonctions périodiques et de leur conjuguees harmoniques.C R. Acad. Sci. Paris, Ser. A 291 (1980), 255-257. MR 0591744 |
| Reference:
|
[7] B. Maurey: Théorèmes de factorisation pour les operateur linéaires à valeur dans les espaces Lp.Astérisque, No. 11, Soc. math, de France, 1974. MR 0344931 |
| Reference:
|
[8] B. Muckenhoupt: Weighted norm inequalities for the Hardy maximal function.Trans. Amer. Math. Soc. 165 (1972), 207-226. Zbl 0236.26016, MR 0293384, 10.1090/S0002-9947-1972-0293384-6 |
| Reference:
|
[9] B. Muckenhoupt: Weighted norm inequalities for classical operators.Harm. Anal. Euclidean Spaces. Proc. Symp. Pure Math., vol. 35, part 1, Amer. Math. Soc., Providence, R. I. 1979, 51-60. Zbl 0428.26009, MR 0545240 |
| Reference:
|
[10] J. L. Rubio de Francia: Boundedness of maximal functions and singular integrals in weighted Lp spaces.Proc. Amer. Math. Soc. 83 (1981), 673-679. MR 0630035 |
| Reference:
|
[11] E. T. Sawyer: Two weighted norm inequalities for certain maximal and integral operators.Proc. Conference Harmonic Analysis. Lecture Notes Math., vol. 908, Springer-Verlag. Berlin-Heidelberg-New York, 1982, 102-107. MR 0654182 |
| Reference:
|
[12] W. S. Young: Weighted norm inequalities for the Hardy-Littlewood maximal functions.Proc. Amer. Math. Soc. 85 (1982), 24-26. MR 0647890, 10.1090/S0002-9939-1982-0647890-4 |
| Reference:
|
[13] A. Zygmund: Trigonometric series, vol. II.Second Ed. Cambridge Univ. Press, 1959. MR 0107776 |
| . |
