Products of Functions in $$\mathrm {BMO}({\mathcal X})$$BMO(X) and $$H^1_\mathrm{at}({\mathcal X})$$Hat1(X) via Wavelets Over Spaces of Homogeneous Type
Products of Functions in $$\mathrm {BMO}({\mathcal X})$$BMO(X) and $$H^1_\mathrm{at}({\mathcal X})$$Hat1(X) via Wavelets Over Spaces of Homogeneous Type
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DOI：
10.1007/s00041-016-9483-9
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发表时间：
2016-06
影响因子：
1.2
通讯作者：
Xing Fu;Dachun Yang;Yiyu Liang
中科院分区：
文献类型：
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作者：
Xing Fu;Dachun Yang;Yiyu Liang
设是R意义下的齐型度量测度空间. R. Coifman和G.韦斯和原子哈代空间。利用P. Auscher和T. Hytönen，作者证明了fand的乘积作为一个分布，可以分别写成两个有界双线性算子frominto和frominto的和，从而肯定了A. Bonami和F. Bernicot（该猜想由Ky在J Math Anal Appl 425：807-817，2015中提出）。
Letbe a metric measure space of homogeneous type in the sense of R. R. Coifman and G. Weiss andbe the atomic Hardy space. Via orthonormal bases of regular wavelets and spline functions recently constructed by P. Auscher and T. Hytönen, the authors prove that the productofand, viewed as a distribution, can be written into a sum of two bounded bilinear operators, respectively, fromintoand frominto, which affirmatively confirms the conjecture suggested by A. Bonami and F. Bernicot (This conjecture was presented by Ky in J Math Anal Appl 425:807–817, 2015).