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| Author(s): |
Bruna Zampieri Centurion
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2024-03-25 |
| Examining board members: |
Marcia Cristina Anderson Braz Federson;
Gustavo da Silva Araujo;
Willian Versolati França;
Jaqueline Godoy Mesquita
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| Advisor: | Thaís Jordão |
| Abstract | |
In this work, we present the concept of F-transform or integral transform of Fouriertype and explore necessary and sufficient conditions for Pitts inequality. The results are obtained as a consequence of Hausdorff-Young type inequalities and Calderón type results for F-transforms. As an application of the results, we recover the celebrated Pitts inequality for the Hankel transform and for the Fourier transform of radial functions. (AU) | |
| FAPESP's process: | 21/13082-1 - Weighted inequalities for integral transforms of Fourier type (F-transforms) |
| Grantee: | Bruna Zampieri Centurion |
| Support Opportunities: | Scholarships in Brazil - Master |