Weighted inequalities for anisotropic maximal functions

Vachtang Michailovič Kokilashvili; Jiří Rákosník

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 4, page 384-393
  • ISSN: 0528-2195

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Kokilashvili, Vachtang Michailovič, and Rákosník, Jiří. "Weighted inequalities for anisotropic maximal functions." Časopis pro pěstování matematiky 110.4 (1985): 384-393. <http://eudml.org/doc/21621>.

@article{Kokilashvili1985,
author = {Kokilashvili, Vachtang Michailovič, Rákosník, Jiří},
journal = {Časopis pro pěstování matematiky},
keywords = {anisotropic maximal function; weight function; maximal operator of Hardy- Littlewood},
language = {eng},
number = {4},
pages = {384-393},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Weighted inequalities for anisotropic maximal functions},
url = {http://eudml.org/doc/21621},
volume = {110},
year = {1985},
}

TY - JOUR
AU - Kokilashvili, Vachtang Michailovič
AU - Rákosník, Jiří
TI - Weighted inequalities for anisotropic maximal functions
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 4
SP - 384
EP - 393
LA - eng
KW - anisotropic maximal function; weight function; maximal operator of Hardy- Littlewood
UR - http://eudml.org/doc/21621
ER -

References

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  1. L. Carleson P. Jones, Weighted norm inequalities and a theorem of Koosis, Mittag-Leffler Inst., Rep. No. 2, 1981. (1981) 
  2. C. Fefferman E. M. Stein, 10.2307/2373450, Amer. J. Math. Soc. 93 (1971), 107-115. (1971) MR0284802DOI10.2307/2373450
  3. A. E. Gatto C. E. Gutiérrez, On weighted norm inequalities for the maximal function, Studia Math. 81 (1983), 59-62. (1983) MR0728196
  4. M. de Guzmán, A covering lemma with applications to differentiability of measures and singular integral operators, Studia Math. 34 (1970), 290-317. (1970) MR0264022
  5. V. M. Kokilashvili J. Rákosník, Weighted inequalities for vector-valued anisotropic maximal functions, (To appear in Z. Anal. Anwendungen (1985).) (1985) MR0818979
  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. (1980) MR0591744
  7. B. Maurey, Théorèmes de factorisation pour les operateur linéaires à valeur dans les espaces Lp, Astérisque, No. 11, Soc. math, de France, 1974. (1974) MR0344931
  8. B. Muckenhoupt, 10.1090/S0002-9947-1972-0293384-6, Trans. Amer. Math. Soc. 165 (1972), 207-226. (1972) Zbl0236.26016MR0293384DOI10.1090/S0002-9947-1972-0293384-6
  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. (1979) Zbl0428.26009MR0545240
  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. (1981) MR0630035
  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. (1982) MR0654182
  12. W. S. Young, 10.1090/S0002-9939-1982-0647890-4, Proc. Amer. Math. Soc. 85 (1982), 24-26. (1982) MR0647890DOI10.1090/S0002-9939-1982-0647890-4
  13. A. Zygmund, Trigonometric series, vol. II, Second Ed. Cambridge Univ. Press, 1959. (1959) MR0107776

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