Product structures and fractional integration along curves in the space | Zendy

Silvia Secco | Zendy; Paolo Ciatti | Zendy; Valentina Casarino | Zendy

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Product structures and fractional integration along curves in the space

Author(s) -

Silvia Secco,

Paolo Ciatti,

Valentina Casarino

Publication year - 2012

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2013.6.619

Subject(s) - product (mathematics) , mathematics , kernel (algebra) , convolution (computer science) , space (punctuation) , combinatorics , polynomial , type (biology) , mathematical analysis , geometry , computer science , ecology , machine learning , artificial neural network , biology , operating system

We establish L^p boundedness for a double analytic family of fractional integrals. Our proof is based on product-type kernels arguments. We prove in particular that the convolution kernel is \uda product kernel adapted to a polynomial curve in R^3

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