Geodesic
On a Limiting Case for Pointwise Multiplication in Nikol'skii--Besov Spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 170-187

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We investigate the regularity of the set of all products $f\cdot g$ for $f$ and $g$ belonging to certain Nikol'skii–Besov spaces. The special situation we are interested in has been left open in earlier contributions. It represents a limiting situation. We list a number of positive and negative results, both in the inhomogeneous and in the homogeneous situation.
Keywords: pointwise multipliers, inhomogeneous Nikol'skii–Besov spaces, homogeneous Nikol'skii–Besov spaces
Mots-clés : paramultiplication. 
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     author = {Winfried Sickel},
     title = {On a {Limiting} {Case} for {Pointwise} {Multiplication} in {Nikol'skii--Besov} {Spaces}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {170--187},
     publisher = {mathdoc},
     volume = {312},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2021_312_a8/}
}
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Winfried Sickel. On a Limiting Case for Pointwise Multiplication in Nikol'skii--Besov Spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 170-187. http://geodesic.mathdoc.fr/item/TM_2021_312_a8/