Juntao Du
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Juntao Du has a total of 9 co-authors. Here are the top co-authors by number of shared publications:
- Songxiao Li
Department of Mathematics, Shantou University, Shantou, China
13 shared publications - Yecheng Shi
School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China
5 shared publications - Hasi Wulan
Shantou University
3 shared publications - Xiaosong Liu
Department of Mathematics, Jiaying University, Meizhou, China
3 shared publications - Zuoling Liu3 shared publications
- Guanlong Bao
Shantou University
2 shared publications
Latest Publications
- Open Access
Sums of two generalized weighted composition operators between Bergman spaces
Based on a judicious partitioning of the preimage of the pseudohyperbolic disk under the composition symbols, in this article, we show that the boundedness and compactness of the sum of two generalized weighted composition operators with different symbols and orders between Bergman spaces are properly determined by each of individual summands.
Open AccessSums of two generalized weighted composition operators between Bergman spaces
Based on a judicious partitioning of the preimage of the pseudohyperbolic disk under the composition symbols, in this article, we show that the boundedness and compactness of the sum of two generalized weighted composition operators with different symbols and orders between Bergman spaces are properly determined by each of individual summands.
- Open Access
A note on Stević-Sharma type operators between Bergman spaces with doubling weights
Using some estimates in [J. Funct. Anal. {\bf 278}(2020), Article No. 108401], we completely characterized the boundedness and compactness of the Stević-Sharma type operators with different weights and different composition symbols between Bergman spaces induced by two-sides doubling weights.
Open AccessA note on Stević-Sharma type operators between Bergman spaces with doubling weights
Using some estimates in [J. Funct. Anal. {\bf 278}(2020), Article No. 108401], we completely characterized the boundedness and compactness of the Stević-Sharma type operators with different weights and different composition symbols between Bergman spaces induced by two-sides doubling weights.
- 1 January 2024
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- Vol. 277 (2) , 99-122
Carleson measures for the Bloch space
We study the open problem of characterizing Carleson measures for the Bloch space. Several characterizations of these measures are obtained and several examples are constructed. Our approach is based on the theory of weighted Bergman spaces induced by cer
- 1 January 2024
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- Vol. 277 (2) , 99-122
Carleson measures for the Bloch space
We study the open problem of characterizing Carleson measures for the Bloch space. Several characterizations of these measures are obtained and several examples are constructed. Our approach is based on the theory of weighted Bergman spaces induced by cer
- Open Access
Stević-Sharma type operators between Bergman spaces induced by doubling weights
Using Khinchin's inequality, Ger$\check{\mbox{s}}$gorin's theorem and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević-Sharma type operators from weighted Bergman spaces $A_ω^p$ to $A_μ^q$ and the sum of weighted differentiation composition operators with different symbols from weighted Bergman spaces $A_ω^p$ to $H^\infty$.The estimates of those between Bergman spaces remove all the restrictions of a result in [Appl. Math. Comput.,{\bf 217}(2011),8115--8125]. As a by-product, we also get an interpolation theorem for Bergman spaces induced by doubling weights.Open AccessStević-Sharma type operators between Bergman spaces induced by doubling weights
Using Khinchin's inequality, Ger$\check{\mbox{s}}$gorin's theorem and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević-Sharma type operators from weighted Bergman spaces $A_ω^p$ to $A_μ^q$ and the sum of weighted differentiation composition operators with different symbols from weighted Bergman spaces $A_ω^p$ to $H^\infty$.The estimates of those between Bergman spaces remove all the restrictions of a result in [Appl. Math. Comput.,{\bf 217}(2011),8115--8125]. As a by-product, we also get an interpolation theorem for Bergman spaces induced by doubling weights. - 15 September 2023
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 40 (5) , 1345-1359
Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights
- 15 September 2023
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 40 (5) , 1345-1359
Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights
- 22 October 2022
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 19 (6) , 1-32
The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces
- 22 October 2022
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 19 (6) , 1-32
The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces
- Open Access
Double integral estimates for Besov type spaces and their applications
For $0<p<\infty$, we give a complete description of nonnegative radial weight functions $\omega$ on the open unit disk $\mathbb{D}$ such that $$ \int_{\mathbb{D}} |f'(z)|^p (1-|z|^2)^{p-2}\omega(z)dA(z)<\infty $$ if and only if $$ \int_{\mathbb{D}}\int_{\mathbb{D}}\frac{|f(z)-f(\zeta)|^p}{|1-\overline{\zeta}z|^{4+\tau+\sigma}}(1-|z|^2)^{\tau}(1-|\zeta|^2)^{\sigma}\omega(\zeta)dA(z)A(\zeta)<\infty $$ for all analytic functions $f$ in $\mathbb{D}$, where $\tau$ and $\sigma$ are some real numbers. As applications, we give some geometric descriptions of functions in Besove type spaces $B_p(\omega)$ with doubling weights, and characterize the boundedness and compactness of Hankel type operators related to Besov type spaces with radial B\'ekoll\'e-Bonami weights. Some special cases of our results are new even for some standard weighted Besov spaces.Open AccessDouble integral estimates for Besov type spaces and their applications
For $0<p<\infty$, we give a complete description of nonnegative radial weight functions $\omega$ on the open unit disk $\mathbb{D}$ such that $$ \int_{\mathbb{D}} |f'(z)|^p (1-|z|^2)^{p-2}\omega(z)dA(z)<\infty $$ if and only if $$ \int_{\mathbb{D}}\int_{\mathbb{D}}\frac{|f(z)-f(\zeta)|^p}{|1-\overline{\zeta}z|^{4+\tau+\sigma}}(1-|z|^2)^{\tau}(1-|\zeta|^2)^{\sigma}\omega(\zeta)dA(z)A(\zeta)<\infty $$ for all analytic functions $f$ in $\mathbb{D}$, where $\tau$ and $\sigma$ are some real numbers. As applications, we give some geometric descriptions of functions in Besove type spaces $B_p(\omega)$ with doubling weights, and characterize the boundedness and compactness of Hankel type operators related to Besov type spaces with radial B\'ekoll\'e-Bonami weights. Some special cases of our results are new even for some standard weighted Besov spaces. - 18 July 2022
- Published by Springer Nature in Computational Methods and Function Theory
- Vol. 23 (3) , 447-468
Bergman Projections Induced by Doubling Weights on the Unit Ball of ${\mathbb {C}}^n$- 18 July 2022
- Published by Springer Nature in Computational Methods and Function Theory
- Vol. 23 (3) , 447-468
Bergman Projections Induced by Doubling Weights on the Unit Ball of ${\mathbb {C}}^n$- 26 October 2020
- Published by Springer Nature in Analysis and Mathematical Physics
- Vol. 10 (4) , 1-41
Weighted Bergman spaces induced by doubling weights in the unit ball of $\mathbb {C}^n$- 26 October 2020
- Published by Springer Nature in Analysis and Mathematical Physics
- Vol. 10 (4) , 1-41
Weighted Bergman spaces induced by doubling weights in the unit ball of $\mathbb {C}^n$- Open Access
Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights
Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights are investigated in this paper.
Open AccessSchatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights
Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights are investigated in this paper.