A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere

作者：Arenas Alberto^*; Ciaurri Oscar; Labarga Edgar

来源：Journal of Fourier Analysis and Applications, 2018, 24(2): 416-430.

DOI：10.1007/s00041-017-9531-0

• Hardy inequalities
• Uncertainty principles
• Ultraspherical expansions

We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity.

• 出版日期2018-4