On the boundedness of the mapping $f\rightarrow |f|$ in Besov spaces

Oswald, Patrick. "On the boundedness of the mapping $f\rightarrow |f|$ in Besov spaces." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 57-66. <http://eudml.org/doc/247418>.

@article{Oswald1992,
abstract = {For $1\le p\le \infty $, precise conditions on the parameters are given under which the particular superposition operator $T:f\rightarrow |f|$ is a bounded map in the Besov space $B^s_\{p,q\}(R^1)$. The proofs rely on linear spline approximation theory.},
author = {Oswald, Patrick},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Nemytzki operators; Besov spaces; moduli of smoothness; linear splines; scale of Besov spaces; linear spline approximation},
language = {eng},
number = {1},
pages = {57-66},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the boundedness of the mapping $f\rightarrow |f|$ in Besov spaces},
url = {http://eudml.org/doc/247418},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Oswald, Patrick
TI - On the boundedness of the mapping $f\rightarrow |f|$ in Besov spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 57
EP - 66
AB - For $1\le p\le \infty $, precise conditions on the parameters are given under which the particular superposition operator $T:f\rightarrow |f|$ is a bounded map in the Besov space $B^s_{p,q}(R^1)$. The proofs rely on linear spline approximation theory.
LA - eng
KW - Nemytzki operators; Besov spaces; moduli of smoothness; linear splines; scale of Besov spaces; linear spline approximation
UR - http://eudml.org/doc/247418
ER -

References

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Citations in EuDML Documents

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Kolyada, Viktor I., On embedding theorems

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