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Abstract In the recent literature certain BMO-type seminorms provide characterizations of Sobolev functions. In the same order of ideas, we obtain the norm of the gradient of a function in… Click to show full abstract
Abstract In the recent literature certain BMO-type seminorms provide characterizations of Sobolev functions. In the same order of ideas, we obtain the norm of the gradient of a function in L p ( Ω ) , where Ω ⊂ R n , n > 1 and p > 1 , as limit of BMO-type seminorms involving families of pairwise disjoint sets with all orientations, the sets being not necessarily cubes or tessellation cells. An analogous result is obtained when rotations are not allowed.
Keywords:
generating sobolev;
sobolev functions;
seminorms generating;
bmo type;
type seminorms
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!