| Autor: |
Mohammed Ali, Omar Al-mohammed |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-12 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1029-242X |
| DOI: |
10.1186/s13660-018-1900-y |
| Popis: |
Abstract In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in Lq(Sn−1) $L^{q}(\mathbf{S}^{n-1})$, q>1 $q > 1$. By using these bounds and using an extrapolation argument, we establish the Lp $L^{p}$ boundedness of the maximal operators when their kernels are in L(logL)α(Sn−1) $L(\log L)^{\alpha}(\mathbf{S}^{n-1})$ or in the block space Bq0,α−1(Sn−1) $B^{0,\alpha-1}_{q} (\mathbf{S}^{n-1})$. Our main results represent significant improvements as well as natural extensions of what was known previously. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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