Singular integrals in quantum Euclidean spaces
نویسندگان
چکیده
We shall establish the core of singular integral theory and pseudodifferential calculus over archetypal algebras noncommutative geometry: quantum forms Euclidean spaces tori. Our results go beyond Connes’ for rotation algebras, thanks to a new form Calderón-Zygmund these which crucially incorporates nonconvolution kernels. deduce L p L_p -boundedness Sobolev alttext="p"> encoding="application/x-tex">p -estimates regular, exotic forbidden symbols in expected ranks. In 2"> 2 encoding="application/x-tex">L_2 level both Calderón-Vaillancourt Bourdaud theorems are also generalized setting. As basic application our methods, we prove -regularity solutions elliptic PDEs.
منابع مشابه
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ژورنال
عنوان ژورنال: Memoirs of the American Mathematical Society
سال: 2021
ISSN: ['1947-6221', '0065-9266']
DOI: https://doi.org/10.1090/memo/1334