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Anisotropic weak Hardy spaces and interpolation theorems. (English) Zbl 1153.42010
Summary: The authors establish the anisotropic weak Hardy spaces associated with very general discrete groups of dilations. Moreover, the atomic decomposition theorem of the anisotropic weak Hardy spaces is also given. As some applications of the above results, the authors prove some interpolation theorems and obtain the boundedness of the singular integral operators on these Hardy spaces.
MSC:
 42B30 ${H}^{p}$-spaces (Fourier analysis) 42B99 Fourier analysis in several variables
References:
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