Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
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The Meda inequality for rearrangements of the convolution operator on the Heisenberg group Open image in new window 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 Open image in new window and fractional integral operator Open image in new window with rough kernels in the spaces Open image in new window are found. Finally, we give some comments on the extension of our results to the case of homogeneous groups.
KeywordsHeisenberg Group Full Article Publisher Note
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