Geodesic
The Carleson Measure Problem Between Analytic Morrey Spaces
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 878-890

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DOI

The purpose of this paper is to characterize positive measure $\mu$ on the unit disk such that the analytic Morrey space $\mathcal{A}{{\mathcal{L}}_{p,\eta }}$ is boundedly and compactly embedded to the tent space $$\mathcal{J}_{q,1-\frac{q}{p}\left( 1-\eta\right)}^{\infty }\left( \mu\right)$$ for the case $1\,\le \,q\,\le \,p\,<\,\infty$ respectively. As an application, these results are used to establish the boundedness and compactness of integral operators and multipliers between analytic Morrey spaces.
DOI : 10.4153/CMB-2016-013-9
Mots-clés : 30H35, 28A12, 47B38, 46E15, Morrey space, Carleson measure problem, boundedness, compactness 
Wang, Jianfei. The Carleson Measure Problem Between Analytic Morrey Spaces. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 878-890. doi: 10.4153/CMB-2016-013-9
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     title = {The {Carleson} {Measure} {Problem} {Between} {Analytic} {Morrey} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {878--890},
     year = {2016},
     volume = {59},
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     doi = {10.4153/CMB-2016-013-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-013-9/}
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