Bo He

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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 $b = {b_{k}}$ for which the diagonal operator $…

math.FA2025

Absolutely summing Carleson embeddings on weighted Fock spaces with $A_{\infty}$ -type weights

Jiale Chen, Bo He, Maofa Wang

In this paper, we investigate the $r$ -summing Carleson embeddings on weighted Fock spaces $F_{α, w}^{p}$ . By using duality arguments, translating techniques and block diagonal operato…

Absolute summability from diagonal operators to Carleson embeddings and Hankel operators

Absolutely summing Carleson embeddings on weighted Fock spaces with A∞​-type weights

Absolutely summing Carleson embeddings on weighted Fock spaces with $A_{\infty}$ -type weights