Embeddings of functions spaces of generalized smoothness

• Grant number: 19/02202-6
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2019
• End date: April 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Thaís Jordão
• Grantee: Thaís Jordão
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Function spaces of generalized smoothness (standard and generalized ones) were employed in order to quantify the decay of the Fourier transform, point-wise or through averages, and to express it naturally in terms of the original function. A characterization of functions in the generalized Besov and Lipschitz spaces in terms of decay properties of the Fourier transform was also obtained in 2018. This project aims to study the interrelation between function spaces of generalized smoothness, through approximation theory tools. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CARRIJO, A. O.; JORDAO, T.; SANTOS, C.. Inequalities for moduli of smoothness on two-point homogeneous spaces. POSITIVITY, v. 26, n. 3, p. 16-pg., 2022-07-01. (19/02202-6)