A system of conjugate functions on parabolic Bloch spaces

作者：Hishikawa Yosuke^*; Nishio Masaharu; Yamada Masahiro

来源：Journal of the Mathematical Society of Japan, 2018, 70(3): 1085-1102.

DOI：10.2969/jmsj/74887488

• parabolic operator of fractional order
• heat equation
• Bloch space
• conjugate function

The parabolic Bloch space is the set of all solutions u of the parabolic operator L-(alpha) with the finite Bloch norm parallel to u parallel to B-alpha(sigma). In this paper, we introduce L-(alpha)-conjugates of parabolic Bloch functions, and investigate several properties. As an application, we give an isomorphism theorem on parabolic Bloch spaces.

• 出版日期2018-7