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 |
|---|---|
| Pages (from-to) | 553-567 |
| Number of pages | 15 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 21 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 1 2018 |
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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
Cite this
Marcinkiewicz functions with hardy space kernels. / Al-Salman, Ahmad.
In: Mathematical Inequalities and Applications, Vol. 21, No. 2, 01.04.2018, p. 553-567.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Marcinkiewicz functions with hardy space kernels
AU - Al-Salman, Ahmad
PY - 2018/4/1
Y1 - 2018/4/1
N2 - 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.
AB - 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.
KW - Area integral
KW - Convex functions
KW - Fourier transform
KW - Hardy space
KW - Littlewood-Paley g? ? functions
KW - Marcinkiewicz integrals
KW - Rough kernels
UR - http://www.scopus.com/inward/record.url?scp=85044002261&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044002261&partnerID=8YFLogxK
U2 - 10.7153/mia-2018-21-40
DO - 10.7153/mia-2018-21-40
M3 - Article
VL - 21
SP - 553
EP - 567
JO - Mathematical Inequalities and Applications
JF - Mathematical Inequalities and Applications
SN - 1331-4343
IS - 2
ER -