A note on singular integrals with angular integrability
Abstract In this note we study the rough singular integral TΩf(x)=p.v.∫Rnf(x−y)Ω(y/|y|)|y|ndy, $$ T_{\varOmega }f(x)=\mathrm{p.v.} \int _{\mathbb{R}^{n}}f(x-y)\frac{\varOmega (y/ \vert y \vert )}{ \vert y \vert ^{n}}\,dy, $$ where n≥2 $n\geq 2$ and Ω is a function in LlogL(Sn−1) $L\log L(\mathrm{S}...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2214-4 |