A note on generalized fractional integral operators on generalized Morrey spaces.
Sawano, Yoshihiro, Sugano, Satoko, Tanaka, Hitoshi (2009)
Boundary Value Problems [electronic only]
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Sawano, Yoshihiro, Sugano, Satoko, Tanaka, Hitoshi (2009)
Boundary Value Problems [electronic only]
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Abstract and Applied Analysis
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Journal of Inequalities and Applications [electronic only]
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Lian, Jiali, Wu, Huoxiong (2008)
Journal of Inequalities and Applications [electronic only]
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Asif, Muhammad, Meskhi, Alexander (2008)
Journal of Inequalities and Applications [electronic only]
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Martinez, C., Sanz, M., Calvo, V. (1989)
International Journal of Mathematics and Mathematical Sciences
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C. Martínez, M.D. Martínez, M. Sanz (1994)
Mathematische Zeitschrift
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Ding, Yong (2005)
International Journal of Mathematics and Mathematical Sciences
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Osvaldo Gorosito, Gladis Pradolini, Oscar Salinas (2010)
Czechoslovak Mathematical Journal
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In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.
Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka (2011)
Studia Mathematica
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A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.