On the Boundedness of Biparameter Littlewood-Paley gλ⁎-Function
Let m,n≥1 and let gλ1,λ2⁎ be the biparameter Littlewood-Paley gλ⁎-function defined by gλ1,λ2⁎fx = ∬R+m+1 t2/t2+x2-y2mλ2∬R+n+1 t1/t1+x1-y1nλ1×θt1,t2fy1,y22dy1dt1/t1n+1dy2dt2/t2m+11/2, λ1>1, λ2>1, where θt1,t2f is a nonconvolution kernel defined on Rm+n. In this paper we show that the biparame...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/3605639 |
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