On the function of Marcinkiewicz
T. Walsh (1972)
Studia Mathematica
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T. Walsh (1972)
Studia Mathematica
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Robert Sharpley (1980)
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Diening, Lars, Samko, Stefan (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26D10, 46E30, 47B38 We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.
J. Ash, P. Ash, C. Fefferman, R. Jones (1979)
Studia Mathematica
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C. Calderón, J. Lewis (1976)
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Norberto Fava (1972)
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Harold Widom (1974)
Publications Mathématiques de l'IHÉS
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María J. Carro, Joaquim Martín (2002)
Collectanea Mathematica
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We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega.
Daniel Oberlin (1992)
Colloquium Mathematicae
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Leonard Yap (1971)
Studia Mathematica
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