A note on Marcinkiewicz integrals supported by submanifolds
Abstract In the present paper, we establish the boundedness and continuity of the parametric Marcinkiewicz integrals with rough kernels associated to polynomial mapping P $\mathcal{P}$ as well as the corresponding compound submanifolds, which is defined by Mh,Ω,Pρf(x)=(∫0∞|1tρ∫|y|≤tΩ(y)h(|y|)|y|n−ρf...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1822-8 |