An integral operator preserving s-Carleson measure on the unit ball

Tong, Cezhong; Yuan, Cheng

doi:10.5186/aasfm.2015.4017

Search citation statements

Order By: Relevance

Paper Sections

Select...

Lemma 22 (Lemma 22 In [5]) Suppose1

Preliminaries1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

2024

Publication Types

Select...

Article6

Relationship

Self Cite1

Independent5

Authors

Journals

Cited by 12 publications

(3 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our method relies on a popular decomposition of which is used repeatedly in many papers. See Theorem 1 in [12] for instance. The first two authors obtain the same estimate on the unit ball by an analogue method, see [11].…”

Section: Lemma 22 (Lemma 22 In [5]) Supposementioning

confidence: 99%

The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space

Tong

Arroussi

2021

Potential Anal

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Lemma 22 (Lemma 22 In [5]) Supposementioning

confidence: 99%

The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space

Tong

Arroussi

2021

Potential Anal

Self Cite

View full text Add to dashboard Cite

show abstract

“…Some essential descriptions of

{HC}^{s}

presented later, depend heavily on the following general invariance for the modified Carleson measures (cf. [, Theorem 1]). Theorem Suppose

({, \begin{matrix} 0true p, η \in (() 0, \frac{n + 1}{n}); \\ 0true a > trueprefixmax ({} - \frac{1 + η}{2}, - \frac{1 + η + n (1 - p)}{2}); \\ 0true b > \frac{1 + η}{2} . \end{matrix})

For any Lebesgue measurable function f on

B_{n}

let

{| f false(z false) |}^{2} {(() 1 - {| z |}^{2})}^{η} d v false(z false)

belongs to

{CM}_{p}

, then

false| {sans-serifT}_{a, b} {f false(z false) |}^{2} {(() 1 - {| z |}^{2})}^{2 a + η} d v false(z false)

also belongs to

{CM}_{p}

.…”

Section: Preliminariesmentioning

confidence: 99%

Holomorphic Campanato spaces on the unit ball

Wang

Xiao

2016

Math. Nachr.

View full text Add to dashboard Cite

show abstract

“…Our main results can be regarded as a generalization of [6] and [20,21] in the Békollé weights settings. Inspired by the ideas of [7] and [26], we mainly apply the Bergman projection in [1] and employ some results on Carleson measures in [4,5,19] to overcome the obstacles. In [21], Saukko's proof of difference when 0 < q < p < ∞ is base on the atomic decomposition and interpolation.…”

Section: Introductionmentioning

confidence: 99%