POROSITY AND POINTWISE PRODUCT IN Xp SPACES

Alireza Bagheri Salec, Seyyed Mohammad Tabatabaie, Ahmad Haroon Khleel

Abstract


In this paper, we study some important porous subsets of the product space X1p1×...×Xnpn, where p1,...,pn≥1 and X-1,...,Xn are Banach function spaces. The obtained results give interesting information regarding the closedness of Xp spaces s with respect to poitwise product. Also, some applications for weighted Lebesgue and Orlicz spaces are given. The conclusions are generalizations of similar facts regarding Lebesgue and Orlicz spaces.

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