Interpolating sequences on analytic Besov type spaces
Nicola ArcozziDaniel BlasiJordi Pau
30H0531C2546J15Besov spacesinterpolating sequencesCarleson measurescorona problems
We characterize the interpolating sequences for the weighted analytic Besov spaces $B_p(s)$, defined by the norm $$\|f\|^p_{B_p(s)} = |f(0)|^p + \int_{D}|(1 - |z|^2)f'(z)|^p(1 - |z|^2)^{s} \frac{\text{\upshape d}A(z)}{(1 - |z|^2)^2}, $$ $1<p<\infty$ and $0<s<1$, and for the corresponding multiplier spaces $\Mm(B_p(s))$.
Indiana University Mathematics Journal
2009
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10.1512/iumj.2009.58.3589
10.1512/iumj.2009.58.3589
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Indiana Univ. Math. J. 58 (2009) 1281 - 1318
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