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Weak type estimates of Marcinkiewicz integrals on the weighted Hardy spaces and weighted Herz-type Hardy spaces
Marcinkiewicz integrals weighted Hardy spaces weighted
2011/1/17
TheMarcinkiewicz integral is essentially a Littlewood-Paley g-function,which plays a important role in harmonic analysis. In this article, by using the atomic decomposition theory of weighted Hardy sp...
On Marcinkiewicz Integrals along flat surfaces
Marcinkiewicz integral rough kernels flat curves Fourier transform area integral Littlewood-Paley gl* functions
2010/2/26
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces given by flat curves. Under convexity assumptions on our surfaces, we establish an Lp boundedness resu...