A Carleson inequality for $BMOA$ functions with their derivatives on the unit ball

Hasi Wulan

Displaying similar documents to “A Carleson inequality for $B M O A$ functions with their derivatives on the unit ball”

Positive Toeplitz operators between the pluriharmonic Bergman spaces

Eun Sun Choi (2008)

Czechoslovak Mathematical Journal

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We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space $b^{p}$ into another $b^{q}$ for $1 < p, q < \infty$ in terms of certain Carleson and vanishing Carleson measures.

Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces

Szymon Głąb, Filip Strobin (2013)

Czechoslovak Mathematical Journal

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Jachymski showed that the set $\{(x, y) \in 𝐜_{0} \times 𝐜_{0} : {(\sum_{i = 1}^{n} α (i) x (i) y (i))}_{n = 1}^{\infty} is bounded\}$ is either a meager subset of $𝐜_{0} \times 𝐜_{0}$ or is equal to $𝐜_{0} \times 𝐜_{0}$ . In the paper we generalize this result by considering more general spaces than $𝐜_{0}$ , namely $𝐂_{0} (X)$ , the space of all continuous functions which vanish at infinity, and $𝐂_{b} (X)$ , the space of all continuous bounded functions. Moreover, we replace the meagerness by $σ$ -porosity.

Carleson embeddings.

Heiming, Helmut J. (1996)

Abstract and Applied Analysis

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Displaying similar documents to “A Carleson inequality for B M O A functions with their derivatives on the unit ball”

Positive Toeplitz operators between the pluriharmonic Bergman spaces

Dichotomies for 𝐂 0 ( X ) and 𝐂 b ( X ) spaces

Carleson embeddings.

Displaying similar documents to “A Carleson inequality for $B M O A$ functions with their derivatives on the unit ball”

Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces