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A note on Marcinkiewicz integral operators |
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| Authors: | HM Al-Qassem AJ Al-Salman |
| Institution: | Yarmouk University, Department of Mathematics, Irbid, Jordan |
| Abstract: | This paper is primarily concerned with proving the Lp boundedness of Marcinkiewicz integral operators with kernels belonging to certain block spaces. We also show the optimality of our condition on the kernel for the L2 boundedness of the Marcinkiewicz integral. |
| Keywords: | Marcinkiewicz integrals Oscillatory integrals Fourier transform Lp boundedness Rough kernels Block spaces |
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