The fractional integral between weighted Orlicz and $BMO_{\phi}$ spaces on spaces of homogeneous type
Pradolini, Gladis ; Salinas, Oscar
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 469-487 / Harvested from Czech Digital Mathematics Library
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In this work we give sufficient and necessary conditions for the boundedness of the fractional integral operator acting between weighted Orlicz spaces and suitable $BMO_{\phi}$ spaces, in the general setting of spaces of homogeneous type. This result generalizes those contained in [P1] and [P2] about the boundedness of the same operator acting between weighted $L^{p}$ and Lipschitz integral spaces on $\Bbb R^n$. We also give some properties of the classes of pairs of weights appearing in connection with this boundedness.

Publié le : 2003-01-01
Classification:  26A33,  42B25,  46E30,  46E35 
@article{119402,
     author = {Gladis Pradolini and Oscar Salinas},
     title = {The fractional integral between weighted Orlicz and $BMO\_{\phi}$ spaces on spaces of homogeneous type},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {469-487},
     zbl = {1103.46019},
     mrnumber = {2025814},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119402}
}

Pradolini, Gladis; Salinas, Oscar. The fractional integral between weighted Orlicz and $BMO_{\phi}$ spaces on spaces of homogeneous type. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 469-487. http://gdmltest.u-ga.fr/item/119402/

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