Global maximal inequality to a class of oscillatory integrals
Abstract In the present paper, we give the global Lq $L^{q}$ estimates for maximal operators generated by multiparameter oscillatory integral St,Φ $S_{t,\varPhi}$, which is defined by St,Φf(x)=(2π)−n∫Rneix⋅ξei(t1ϕ1(|ξ1|)+t2ϕ2(|ξ2|)+⋯+tnϕn(|ξn|))fˆ(ξ)dξ,x∈Rn, $$S_{t,\varPhi}f(x)=(2\pi)^{-n} \int_{\ma...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1946-x |