Abstract
In this paper, we construct a topology on the vector space $$\delta \mathcal F_{m,\chi }(\Omega )$$ . We also prove that with this topology it is quasi-Banach, non-separable and non-reflexive. We also give a characterization for the class $$\mathcal F_{m, \min \{\chi _1, \chi _2\}}(\Omega )$$ .
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