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The estimates of Bessel integrals with oscillatory factors
Author(s) -
Tang Lin
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600446
Subject(s) - bessel function , mathematics , singular integral operators , mathematical analysis , variable (mathematics) , struve function , bessel process , bessel polynomials , singular integral , integral equation , orthogonal polynomials , jacobi polynomials , gegenbauer polynomials , classical orthogonal polynomials , macdonald polynomials
In this paper, we establish some sharp estimates of Bessel integrals with oscillatory factors e i a t r. As an application, we obtain theL 2 ( R n )boundedness of the oscillatory singular integral operators with variable kernels.