Riemann–Stieltjes Operators on Weighted Bloch and Bergman Spaces of the Unit Ball

By Jie Xiao. 2004

110 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8d2c5a7340e3949661b82f58233875abfbba0854

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In Applied Mathematics

Citations in the corpus

GENERALIZED COMPOSITION OPERATORS ON ZYGMUND SPACES AND BLOCH TYPE SPACES (2008, background): “Some characterizations of the boundedness and compactness of the composition operator, as well as Volterra type operator, on the Bloch type space and the Zygmund space can be found in [2,6,8–10,13–15].”
ON SOME INTEGRAL OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL (2007, methodology): “This operator is called extended-Cesàro operator (or Riemann-Stieltjes operator), it was introduced in [17], and studied in [17-20, 23, 24, 26, 44, 49, 50].”
Integration operators between Hardy spaces on the unit ball of $\Cn$ (2013, unknown): “The boundedness and compactness of Jg has been extensively studied in many spaces of holomorphic functions in the unit ball (see [37] and [38] for the corresponding study on Bergman and Bloch type spaces).”
Spectra of integration operators on weighted bergman spaces (2009, background): “The boundedness and compactness of such operators defined on various spaces of analytic functions has attracted a lot of attention (see, for example, [8], [12], [17], [ 19 ], or the survey papers [18], [2] and the references therein).”
Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball (2014, unknown): “See [1; 3; 11; 19; 20; 21], and [23] for a few examples.”
Riemann–Stieltjes-type integral operators on the unit ball in (2007, methodology): “Motivated by articles [8,17,18], here we give a comprehensive investigation of the boundedness and compactness of the operators Tg and Ig between Bloch type spaces.”
Products of integral-type operators and composition operators between Bloch-type spaces (2009, background): “The operators J g and I g , as well as their n-dimensional generalizations, acting on various spaces of analytic functions, have been recently studied, for example, in [1,4,5,12–18,20,21,26,29–33] (see also the related references therein).”