Displaying similar documents to “Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces.”

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.

Variable Lebesgue norm estimates for BMO functions

Mitsuo Izuki, Yoshihiro Sawano (2012)

Czechoslovak Mathematical Journal

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In this paper, we are going to characterize the space BMO ( n ) through variable Lebesgue spaces and Morrey spaces. There have been many attempts to characterize the space BMO ( n ) by using various function spaces. For example, Ho obtained a characterization of BMO ( n ) with respect to rearrangement invariant spaces. However, variable Lebesgue spaces and Morrey spaces do not appear in the characterization. One of the reasons is that these spaces are not rearrangement invariant. We also obtain an analogue...