Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability
Kempka, Henning
Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, p. 171-208 / Harvested from Project Euclid
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We introduce 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability and give characterizations by decompositions in atoms, molecules and wavelets. These spaces cover the usual Besov and Triebel-Lizorkin spaces as well as spaces of variable smoothness and integrability. We emphasize that the spaces $F^{s(cdot)}_{p(\cdot),q(\cdot)}(\mathbb{R}^n)$ which were defined recently in [12] are included in this approach.
Publié le : 2010-12-15
Classification:  2-microlocal spaces,  wavelet decomposition,  Besov spaces,  Triebel-Lizorkin spaces,  variable smoothness,  variable integrability,  42B35,  42B25,  46E30 
@article{1291903396,
     author = {Kempka, Henning},
     title = {Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability},
     journal = {Funct. Approx. Comment. Math.},
     volume = {42},
     number = {1},
     year = {2010},
     pages = { 171-208},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1291903396}
}

Kempka, Henning. Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability. Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, pp.  171-208. http://gdmltest.u-ga.fr/item/1291903396/