Abstract
In this paper we prove Lp estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions. Results obtained in this paper improve as well as generalize known results.
Original language | English |
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Pages (from-to) | 553-567 |
Number of pages | 15 |
Journal | Mathematical Inequalities and Applications |
Volume | 21 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2018 |
Keywords
- Area integral
- Convex functions
- Fourier transform
- Hardy space
- Littlewood-Paley g? ? functions
- Marcinkiewicz integrals
- Rough kernels
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics