On the Boundedness of the Fractional Bergman Operators

On the Boundedness of the Fractional Bergman Operators

We give a necessary and sufficient condition for the boundedness of the Bergman fractional operators.

Bibliographic Details
Main Author:	Benoît F. Sehba
Format:	Article
Language:	English
Published:	Hindawi Limited 2017-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2017/8363478

Similar Items

Boundedness Criteria and Norm of Some Multilinear Hilbert-Type Operators
by: Justice S. Bansah, et al.
Published: (2017-01-01)

Boundedness and essential norm of an integral-type operator on a Hilbert–Bergman-type spaces
by: Stevo Stević, et al.
Published: (2019-05-01)

Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces
by: Stéphane Charpentier, et al.
Published: (2012-01-01)

Boundedness of homogeneous fractional integral operator on Morrey space
by: Siying Meng, et al.
Published: (2016-02-01)

Limiting case of the boundedness of fractional integral operators on nonhomogeneous space
by: Sobukawa Takuya, et al.
Published: (2006-01-01)

Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection
by: Juan Zhang, et al.
Published: (2018-01-01)

On boundedness and compactness of a generalized Srivastava–Owa fractional derivative operator
by: Zainab E. Abdulnaby, et al.
Published: (2018-04-01)

Normal Toeplitz Operators on the Bergman Space
by: Sumin Kim, et al.
Published: (2020-09-01)

Composition Operator on Bergman-Orlicz Space
by: Guangfu Cao, et al.
Published: (2009-01-01)

Composition Operator on Bergman-Orlicz Space
by: Jiang Zhijie, et al.
Published: (2009-01-01)

Toeplitz Operators on Weighted Bergman Spaces
by: Gerardo R. Chacón
Published: (2013-01-01)

Little Hankel operators on the Bergman space
by: Namita Das, et al.
Published: (2016-01-01)

Composition operators on weighted Bergman spaces
by: Jones, Matthew Michael
Published: (1999)

Schatten Class Toeplitz Operators on the Bergman Space
by: Namita Das
Published: (2009-01-01)

On a Class of Composition Operators on Bergman Space
by: Namita Das, et al.
Published: (2007-01-01)

Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces
by: Bilal Çekiç, et al.
Published: (2017-01-01)

Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel
by: Xiao Yu, et al.
Published: (2013-01-01)

The boundedness of a certain convolution operator

Boundedness of Multidimensional Dunkl-Hausdorff Operators
by: Radouan Daher, et al.
Published: (2020-01-01)

Boundedness of positive operators on weighted amalgams
by: Aguilar Cañestro María Isabel, et al.
Published: (2011-01-01)

The boundedness of pseudodiffernetial operators on bounded domains
by: ZHANG, YI -SONG, et al.
Published: (1992)

Boundedness properties of bilinear pseudodifferential operators
by: Herbert, Jodi
Published: (2014)

The weighted boundedness of singular integral operators
by: Meng-che Tsai, et al.
Published: (2008)

The weighted boundedness of Calderon-Zygmund operators
by: Chien-chung Li, et al.

Boundedness of Fractional Integral Operators Containing Mittag-Leffler Function via Exponentially s-Convex Functions
by: Gang Hong, et al.
Published: (2020-01-01)

Necessary and Sufficient Conditions for Boundedness of Commutators of the General Fractional Integral Operators on Weighted Morrey Spaces
by: Zengyan Si, et al.
Published: (2012-01-01)

The boundedness of commutators of rough p-adic fractional Hardy type operators on Herz-type spaces
by: Amjad Hussain, et al.
Published: (2021-07-01)

Compact generalized weighted composition operators on the Bergman space
by: Qinghua Hu, et al.
Published: (2017-01-01)

Hausdorff operators on Bergman spaces of the upper half plane
by: Stylogiannis Georgios
Published: (2020-03-01)

Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space
by: Jingyu Yang, et al.
Published: (2013-01-01)

Finite rank intermediate Hankel operators on the Bergman space
by: Namita Das
Published: (2011-12-01)

Finite-rank intermediate Hankel operators on the Bergman space
by: Takahiko Nakazi, et al.
Published: (2001-01-01)

Dynamics of differentiation operators on generalized weighted Bergman spaces
by: Zhang Liang, et al.
Published: (2014-11-01)

Two Problems in the Theory of Toeplitz Operators on the Bergman Space
by: Yousef, Abdelrahman Fawzi
Published: (2009)

Operators on some analytic function spaces and their dyadic counterparts
by: Sehba, Benoit Florent
Published: (2009)

The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
by: Badr S. Alkahtani, et al.
Published: (2017-05-01)

Commuting Quasihomogeneous Toeplitz Operator and Hankel Operator on Weighted Bergman Space
by: Jun Yang
Published: (2013-01-01)

On L2-Boundedness of h-Pseudodifferential Operators
by: Jie Yang
Published: (2021-01-01)

On boundedness of unified integral operators for quasiconvex functions
by: Dongming Zhao, et al.
Published: (2020-01-01)

Boundedness of several operators on weighted Herz spaces
by: Yasuo Komori, et al.
Published: (2009-01-01)