Displaying similar documents to “An L p - L q -version of Morgan's theorem for the n -dimensional Euclidean motion group.”

The Fourier integral operators on Hardy spaces associated with Herz spaces

Lixia Liu, Bolin Ma, Sanyang Liu (2011)

Czechoslovak Mathematical Journal

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In this paper, it is proved that the Fourier integral operators of order m , with - n < m - ( n - 1 ) / 2 , are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.

The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces

Rovshan A. Bandaliev (2010)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.

Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“

Rovshan A. Bandaliev (2013)

Czechoslovak Mathematical Journal

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In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the...