BESOV-ISH SPACES THROUGH ATOMIC DECOMPOSITION

Author(s)

Smania, Daniel

• Document type: Journal article
• Source: ANALYSIS & PDE; v. 15, n. 1, p. 53-pg., 2022-01-01.

Abstract

We use the method of atomic decomposition to build new families of function spaces, similar to Besov spaces, in measure spaces with grids, a very mild assumption. Besov spaces with low regularity are considered in measure spaces with good grids, and we obtain results on multipliers and left compositions in this setting. (AU)

• FAPESP's process: 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems
• Grantee: Ali Tahzibi
• Support Opportunities: Research Projects - Thematic Grants