BMO-type seminorms from Escher-type tessellations
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DOI: 10.1016/j.jfa.2020.108556
Abstract: Abstract The paper is about a representation formula introduced by Fusco, Moscariello, and Sbordone in [14] . The formula permits to characterize the gradient norm of a Sobolev function, defined on the whole space ,… read more here.
Keywords: type tessellations; bmo type; seminorms escher; type seminorms ... See more keywords
BMO-type seminorms generating Sobolev functions
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DOI: 10.1016/j.jmaa.2020.124298
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 )… read more here.
Keywords: generating sobolev; sobolev functions; seminorms generating; bmo type ... See more keywords
Hausdorff Operators of Special Kind in BMO-type Spaces and Hölder–Lipschitz Spaces
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DOI: 10.3103/s1066369x20120026
Abstract: We show that some BMO-type spaces are invariant with respect to Hausdorff operators of a special kind (weighted Hardy–Cesaro operators). Moreover, we establish the necessary and sufficient conditions for the boundedness of such operators in… read more here.
Keywords: operators special; bmo type; type spaces; lipschitz spaces ... See more keywords