[PDF.84oh] Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls (Memoirs of the American Mathematical Society)

Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls (Memoirs of the American Mathematical Society)

[PDF.rz90] Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls (Memoirs of the American Mathematical Society)

Carleson Measures and Interpolating  N. Arcozzi, R. Rochberg, and E. Sawyer epub
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 | #9111548 in Books |  2006-06-05 |  2006-06-05 | Original language:English |  10.00 x.35 x7.01l,1.10 | File type: PDF | 163 pages

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We characterize Carleson measures for the analytic Besov spaces $B_{p}$ on the unit ball $\mathbb{B}_{n}$ in $\mathbb{C}^{n}$ in terms of a discrete tree condition on the associated Bergman tree $\mathcal{T}_{n}$. We also characterize the pointwise multipliers on $B_{p}$ in terms of Carleson measures. We then apply these results to characterize the interpolating sequences in $\mathbb{B}_{n}$ for $B_{p}$ and their multiplier spaces $M_{B_{p}}$, generalizing a theorem of B...

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