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Article

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Accepted version

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2020

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/193250

Bilinear forms on potential spaces in the unit circle

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https://doi.org/10.1017/prm.2019.16

Abstract

In this paper we characterize the boundedness on the product of Sobolev spaces $H^s(\mathbb{T}) \times H^s(\mathbb{T})$ on the unit circle $\mathbb{T}$, of the bilinear form $\Lambda_b$ with symbol $b \in H^s(\mathbb{T})$ given by $$ \Lambda_b(\varphi, \psi):=\int_{\mathbb{T}}\left((-\Delta)^s+I\right)(\varphi \psi)(\eta) b(\eta) d \sigma(\eta)$$

Subject

Equacions en derivades parcials, Teoria del potencial (Matemàtica), Anàlisi funcional, Espais de Sobolev

Subject (English)

Partial differential equations, Potential theory (Mathematics), Functional analysis, Sobolev spaces

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CASCANTE, Ma. Carme (Maria Carme) and ORTEGA ARAMBURU, Joaquín M. Bilinear forms on potential spaces in the unit circle. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2020. Vol. 150, num. 2117-2154. ISSN 0308-2105. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/193250

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