Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

• DOI: 10.1007/s11785-017-0758-1
• Publication Date: 2017-12-29T04:22:03Z
• Authors: Jasbir Singh Manhas; Ruhan Zhao
• Keywords: 0101 mathematics; 01 natural sciences

For $$0<\alpha <\infty $$ , $$0<p<\infty $$ and $$0<s<\infty $$ , we characterize the closures in the $$\alpha $$ -Bloch norm of $$\alpha $$ -Bloch functions that are in a Hardy space $$H^p$$ and in a Hardy–Sobolev space $$H^p_s$$ on the unit ball of $$\mathbb {C}^n$$ .