Two-weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Space-Reference-Cited by-同舟云学术

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Two-weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Space

Published:2011-10-11 Issue: Volume: Page:105-124
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Container-title:Spectral Theory, Function Spaces and Inequalities
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Author:

Kokilashvili Vakhtang,Meskhi Alexander

Publisher

Springer Basel

Link

http://link.springer.com/content/pdf/10.1007/978-3-0348-0263-5_7.pdf

Reference24 articles.

1. C. Capone, D. Cruz-Uribe SFO and A. Fiorenza, The fractional maximal operator on variable Lp spaces, Revista Mat. Iberoamericana 3(23) (2007), 747–770.

2. D. Cruz-Uribe, SFO, A. Fiorenza and C.J. Neugebauer, The maximal function on variable Lp spaces. Ann. Acad. Sci. Fenn. Math. 28 (2003), 223–238, and 29 (2004), 247–249.

3. L. Diening, Maximal function on generalized Lebesgue spaces Lp(.). Math. Inequal. Appl. 7(2) (2004), 245–253.

4. L. Diening and S. Samko, Hardy inequality in variable exponent Lebesgue spaces. Frac. Calc. Appl. Anal. 10 (2007), 1–18.

5. D. E. Edmunds, V. Kokilashvili, and A. Meskhi, On the boundedness and compactness of the weighted Hardy operators in Lp(x) spaces. Georgian Math. J. 12 (2005), 27–44.

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1. The Kakeya maximal operator on the variable Lebesgue spaces;Archiv der Mathematik;2014-11-23

2. The Hardy-Littlewood Maximal Operator;Variable Lebesgue Spaces;2012-11-20

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