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Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
Journal of Inequalities and Applications volume 2009, Article number: 864191 (2009)
The Meda inequality for rearrangements of the convolution operator on the Heisenberg group is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient and necessary conditions for the boundedness of the fractional maximal operator and fractional integral operator with rough kernels in the spaces are found. Finally, we give some comments on the extension of our results to the case of homogeneous groups.
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Guliyev, V.S., Serbetci, A., Güner, E. et al. Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications. J Inequal Appl 2009, 864191 (2009). https://doi.org/10.1155/2009/864191
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