Fractional integro-differentiation in harmonic mixed norm spaces on a half-space
Avetisyan, Karen L.
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 691-709 / Harvested from Czech Digital Mathematics Library
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In this paper some embedding theorems related to fractional integration and differentiation in harmonic mixed norm spaces $h(p,q,\alpha )$ on the half-space are established. We prove that mixed norm is equivalent to a ``fractional derivative norm'' and that harmonic conjugation is bounded in $h(p,q,\alpha )$ for the range $0

Publié le : 2001-01-01
Classification:  26A33,  31B05,  31B10,  31C05 
@article{119285,
     author = {Karen L. Avetisyan},
     title = {Fractional integro-differentiation in harmonic mixed norm spaces on a half-space},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {691-709},
     zbl = {1090.31500},
     mrnumber = {1883378},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119285}
}

Avetisyan, Karen L. Fractional integro-differentiation in harmonic mixed norm spaces on a half-space. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 691-709. http://gdmltest.u-ga.fr/item/119285/

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