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
• City of the host institution: São Carlos

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

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)