3 papers
math.FA2025
Absolute summability from diagonal operators to Carleson embeddings and Hankel operators
Zhijie Fan, Bo He, Xiaofeng Wang +1
The present paper consists of three parts, each building on the preceding one. In Part I, we characterize the scalar sequences for which the diagonal operator $…
math.FA2025
Absolutely summing Carleson embeddings on weighted Fock spaces with -type weights
Jiale Chen, Bo He, Maofa Wang
In this paper, we investigate the -summing Carleson embeddings on weighted Fock spaces . By using duality arguments, translating techniques and block diagonal operato…
math.CV2024
Analyticity theorems for parameter-dependent plurisubharmonic functions
Bojie He
In this paper, we first show that a union of upper-level sets associated to fibrewise Lelong numbers of plurisubharmonic functions is in general a pluripolar subset. Then we obtain…