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Published in 2024 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-024-00869-3
Abstract: In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a class of functions related to the known variations and new ones. Such…
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Keywords:
product;
variation type;
type characterization;
product hardy ... See more keywords
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Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4443
Abstract: We provide a Reifenberg type characterization for $m$-dimensional $C^1$-submanifolds of $\mathbb R^n$. This characterization is also equivalent to Reifenberg-flatness with vanishing constant combined with suitably converging approximating $m$-planes. Moreover, a sufficient condition can be given…
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Keywords:
dimensional submanifolds;
characterization dimensional;
reifenberg type;
type characterization ... See more keywords