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http://hdl.handle.net/2445/193250
Title: | Bilinear forms on potential spaces in the unit circle |
Author: | Cascante, Ma. Carme (Maria Carme) Ortega Aramburu, Joaquín M. |
Keywords: | Equacions en derivades parcials Teoria del potencial (Matemàtica) Anàlisi funcional Espais de Sobolev Partial differential equations Potential theory (Mathematics) Functional analysis Sobolev spaces |
Issue Date: | 2020 |
Publisher: | Cambridge University Press |
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 $$ \Lambda_b(\varphi, \psi):=\int_{\mathbb{T}}\left((-\Delta)^s+I\right)(\varphi \psi)(\eta) b(\eta) d \sigma(\eta)$$ |
Note: | Versió postprint del document publicat a: https://doi.org/10.1017/prm.2019.16 |
It is part of: | Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020, vol. 150, p. 2117-2154 |
URI: | http://hdl.handle.net/2445/193250 |
Related resource: | https://doi.org/10.1017/prm.2019.16 |
ISSN: | 0308-2105 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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