Independence on p of weak upper gradients on RCD spaces
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چکیده
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a study on the effectiveness of textual modification on the improvement of iranian upper-intermediate efl learners’ reading comprehension
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Minimal Weak Upper Gradients in Newtonian Spaces Based on Quasi-banach Function Lattices
Properties of first-order Sobolev-type spaces on abstract metric measure spaces, so-called Newtonian spaces, based on quasi-Banach function lattices are investigated. The set of all weak upper gradients of a Newtonian function is of particular interest. Existence of minimal weak upper gradients in this general setting is proven and corresponding representation formulae are given. Furthermore, t...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2016
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2016.04.014