A1-Regularity and Boundedness of Riesz Transforms in Banach Lattices of Measurable Functions
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DOI: 10.1007/s10958-018-3698-z
Abstract: Let X be a Banach lattice of measurable functions on ℝn × Ω having the Fatou property. We show that the boundedness of all Riesz transforms Rj in X is equivalent to the boundedness of… read more here.
Keywords: measurable functions; boundedness riesz; riesz transforms; boundedness ... See more keywords
On generalized statistical convergence and boundedness of Riesz space-valued sequences
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DOI: 10.2298/fil1915989p
Abstract: We consider the notion of generalized density, namely, the natural density of weight 1 recently introduced in [4] and primarily study some sufficient and almost converse necessary conditions for the generalized statistically convergent sequence under… read more here.
Keywords: convergence boundedness; boundedness riesz; generalized statistically; statistical convergence ... See more keywords