Convergence theorems for Banach-valued HL integral. (Chinese. English summary) Zbl 1103.46313
Summary: The concept of equi-integrability is introduced for Banach-valued HL integral sequences, which is stronger than Banach-valued Henstock integral. The properties of this integral are similar to the Henstock integral on the real line. A convergence theorem is obtained for Banach-valued HL integrable sequences by using equi-integrability theorems.
MSC:
46G10 | Vector-valued measures and integration |