Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball

Key Points

• This research aims to characterize Carleson embeddings and evaluate kernel function estimates within weighted Bergman spaces.
• Investigated weighted Bergman spaces on the unit ball in C^n
• Established characterization of Carleson embeddings
• Proved pointwise and norm estimates on reproducing kernel functions.
• Characterization of Carleson embeddings was successfully established.
• Pointwise estimates for the reproducing kernel function demonstrate significant accuracy in weighted Bergman spaces.
• Norm estimates offer new insights into the behavior of reproducing kernels.