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Integral Transforms and Special Functions Volume 18, 2007 - Issue 9
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Original Articles

Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent

Vakhtang Kokilashvili A. Razmadze Mathematical Institute, 1, M. Aleksidze St, 0193, Tbilisi, Georgia; International Black Sea University, Agmashenebeli kheivani 13 km, 01-31, Tbilisi, Georgia
&
Alexander Meskhi International Black Sea University, Agmashenebeli kheivani 13 km, 01-31, Tbilisi, Georgia; School of Mathematical Sciences, Government College University, 68-B, New Muslim Town, Lahore, PakistanCorrespondence[email protected]
Pages 609-628 | Received 08 Aug 2006, Published online: 24 Oct 2007

Citations (17)

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Muhammad Asif, Vakhtang Kokilashvili & Alexander Meskhi. (2009) Boundedness criteria for maximal functions and potentials on the half-space in weighted Lebesgue spaces with variable exponents. Integral Transforms and Special Functions 20:11, pages 805-819.
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Articles from other publishers (16)

Ferenc Weisz. (2022) New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents. Fractional Calculus and Applied Analysis 26:1, pages 1-31.
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雨荷 杨. (2022) Weighted Estimates of Maximal Operator on Weighted λ-Central Morrey Spaces. Pure Mathematics 12:02, pages 252-256.
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Vakhtang Kokilashvili & Alexander Meskhi. (2014) Two-weight norm estimates for sublinear integral operators in variable exponent Lebesgue spaces. Studia Scientiarum Mathematicarum Hungarica 51:3, pages 384-406.
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Vakhtang Kokilashvili, Alexander Meskhi & Muhammad Asad Zaighum. (2013) Weighted kernel operators in variable exponent amalgam spaces. Journal of Inequalities and Applications 2013:1.
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Vakhtang Kokilashvili, Alexander Meskhi & Muhammad Asad Zaighum. (2013) Positive kernel operators in $$L^{p(x)}$$ spaces. Positivity 17:4, pages 1123-1140.
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Stefan Samko. (2012) Fractional integration and differentiation of variable order: an overview. Nonlinear Dynamics 71:4, pages 653-662.
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David V. Cruz-Uribe & Alberto FiorenzaDavid V. Cruz-Uribe & Alberto Fiorenza. 2013. Variable Lebesgue Spaces. Variable Lebesgue Spaces 129 189 .
David V. Cruz-Uribe & Alberto FiorenzaDavid V. Cruz-Uribe & Alberto Fiorenza. 2013. Variable Lebesgue Spaces. Variable Lebesgue Spaces 79 128 .
Yoshihiro Mizuta & Tetsu Shimomura. (2012) A trace inequality of Riesz potentials in variable exponent Orlicz spaces. Mathematische Nachrichten 285:11-12, pages 1466-1485.
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Vakhtang Kokilashvili & Alexander Meskhi. 2012. Spectral Theory, Function Spaces and Inequalities. Spectral Theory, Function Spaces and Inequalities 105 124 .
David Cruz-Uribe, Lars Diening & Peter Hästö. (2011) The maximal operator on weighted variable Lebesgue spaces. Fractional Calculus and Applied Analysis 14:3, pages 361-374.
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Farman I. Mamedov & Yusuf Zeren. (2010) On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent. Annali di Matematica Pura ed Applicata 190:2, pages 263-275.
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F. I. Mamedov & Y. Zeren. (2011) Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent. Journal of Mathematical Sciences 173:6, pages 701-716.
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V. Kokilashvili & A. Meskhi. (2011) Two–weight inequalities for fractional maximal functions and singular integrals in L p(·) spaces. Journal of Mathematical Sciences 173:6, pages 656-673.
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Alexandre Almeida & Stefan Samko. (2009) Fractional and Hypersingular Operators in Variable Exponent Spaces on Metric Measure Spaces. Mediterranean Journal of Mathematics 6:2, pages 215-232.
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David E. Edmunds, Vakhtang Kokilashvili & Alexander Meskhi. (2008) One‐sided operators in L p ( x ) spaces . Mathematische Nachrichten 281:11, pages 1525-1548.
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