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

## Arcozzi, N.; Rochberg, R.; Sawyer, E.

0 valoración promedio
( 0 valoraciones por GoodReads )

From the Publisher:

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 Boe in one dimension.The interpolating sequences for $B_{p}$ and for $M_{B_{p}}$ are precisely those sequences satisfying a separation condition and a Carleson embedding condition. These results hold for $1\less p \less \infty$ with the exceptions that for $2+\frac{1}{n-1}\leq p<\infty$, the necessity of the tree condition for the Carleson embedding is left open, and for $2+\frac{1}{n-1}\leq p\leq2n$, the sufficiency of the separation condition and the Carleson embedding for multiplier interpolation is left open; the separation and tree conditions are however sufficient for multiplier interpolation. Novel features of our proof of the interpolation theorem for $M_{B_{p}}$ include the crucial use of the discrete tree condition for sufficiency, and a new notion of holomorphic Besov space on a Bergman tree, one suited to modeling spaces of holomorphic functions defined by the size of higher order derivatives, for necessity.

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 57,01

Gastos de envío: EUR 3,75

Destinos, gastos y plazos de envío

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

Editorial: American Mathematical Society (2006)
ISBN 10: 0821839179 ISBN 13: 9780821839171
Librería
Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2006. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. 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 Böe in one dimension. The interpolating sequences for $B_{p}$ and for $M_{B_{p}}$ are precisely those sequences satisfying a separation condition and a Carleson embedding condition. These results hold for $1\less p \less \infty$ with the exceptions that for $2+\frac{1}{n-1}\leq p<\infty$, the necessity of the tree condition for the Carleson embedding is left open, and for $2+\frac{1}{n-1}\leq p\leq2n$, the sufficiency of the separation condition and the Carleson embedding for multiplier interpolation is left open; the separation and tree conditions are however sufficient for multiplier interpolation. Novel features of our proof of the interpolation theorem for $M_{B_{p}}$ include the crucial use of the discrete tree condition for sufficiency, and a new notion of holomorphic Besov space on a Bergman tree, one suited to modeling spaces of holomorphic functions defined by the size of higher order derivatives, for necessity. Nº de ref. de la librería 1005250203

Comprar nuevo
EUR 57,01
Convertir moneda
Gastos de envío: EUR 3,75
Destinos, gastos y plazos de envío

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

Editorial: American Mathematical Society (2006)
ISBN 10: 0821839179 ISBN 13: 9780821839171
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2006. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0821839179

Comprar nuevo
EUR 88,26
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío

## 3.Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls (Memoirs of the American Mathem)

Editorial: American Mathematical Society (2006)
ISBN 10: 0821839179 ISBN 13: 9780821839171
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración

Descripción American Mathematical Society, 2006. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821839179

Comprar nuevo
EUR 90,64
Convertir moneda
Gastos de envío: EUR 3,74
Destinos, gastos y plazos de envío

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

Editorial: American Mathematical Society (2006)
ISBN 10: 0821839179 ISBN 13: 9780821839171