Uniform boundedness of oscillatory singular integrals on Hardy spaces.
Leslie C. Cheng, Yibiao Pan (2000)
Publicacions Matemàtiques
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We prove the uniform H boundedness of oscillatory singular integrals with degenerate phase functions.
Leslie C. Cheng, Yibiao Pan (2000)
Publicacions Matemàtiques
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We prove the uniform H boundedness of oscillatory singular integrals with degenerate phase functions.
Elias M. Stein (1985)
Journées équations aux dérivées partielles
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Yibiao Pan (1991)
Revista Matemática Iberoamericana
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Wengu Chen, Shanzhen Lu (2004)
Studia Mathematica
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We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.
Yibiao Pan, Christopher D. Sogge (1990)
Colloquium Mathematicae
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Dashan Fan, Yibiao Pan (1996)
Manuscripta mathematica
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M. Cowling, S. Disney, G. Mauceri (1990)
Inventiones mathematicae
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E.M. Stein, D.H. Phong (1992)
Inventiones mathematicae
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G. Sampson (1998)
Colloquium Mathematicae
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J. Bourgain (1991)
Geometric and functional analysis
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Magali Folch-Gabayet, James Wright (2003)
Studia Mathematica
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Let K be a Calderón-Zygmund kernel and P a real polynomial defined on ℝⁿ with P(0) = 0. We prove that convolution with Kexp(i/P) is continuous on L²(ℝⁿ) with bounds depending only on K, n and the degree of P, but not on the coefficients of P.
David McMichael (1993)
Mathematica Scandinavica
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