A Note on Marcinkiewicz Integrals along Submanifolds of Finite Type
نویسندگان
چکیده
منابع مشابه
Marcinkiewicz integrals along subvarieties on product domains
Stein proved that ifΩ∈ Lipα(Sn−1), (0<α≤ 1), then μΩ is bounded on Lp for all 1<p ≤ 2 [18]. Since then, the study of the Lp boundedness of μΩ under various conditions on the function Ω has attracted the attention of many authors ([1, 4, 5, 7, 10, 13], among others). In particular, Chen et al. in [8] studied the Lp boundedness of μΩ under the following condition on the function Ω which was intro...
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*Correspondence: [email protected] 1School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China Full list of author information is available at the end of the article Abstract In this note we establish the Lp boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces, which improve and extend some previous results. The main ingredient is to presen...
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ژورنال
عنوان ژورنال: Journal of Function Spaces
سال: 2018
ISSN: 2314-8896,2314-8888
DOI: 10.1155/2018/7052490