Product of functions in BMO and H in non-homogeneous spaces

Feuto, Justin
August 2011
Acta Mathematica Sinica;Aug2011, Vol. 27 Issue 8, p1535
Academic Journal
Under the assumption that the underlying measure is a non-negative Radon measure which only satisfies some growth condition and may not be doubling, we define the product of functions in the regular BMO and the atomic block H in the sense of distribution, and show that this product may be split into two parts, one in L and the other in some Hardy-Orlicz space.


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