EDITOR-IN-CHIEF YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, ChinaAIMS AND SCOPE Science in China Series
EDITOR YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, ChinaAIMS AND SCOPEScience in China Series E: Technological Sciences, an academic journal cosponsored by the Chinese A...EDITOR YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, ChinaAIMS AND SCOPEScience in China Series E: Technological Sciences, an academic journal cosponsored by the Chinese Academy of Sciences and展开更多
EDITOR YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, China AIMS AND SCOPE Science in China Series E: Technological Sciences, an academic journal cosponsored by the Chinese...EDITOR YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, China AIMS AND SCOPE Science in China Series E: Technological Sciences, an academic journal cosponsored by the Chinese Academy of Sciences and the Na-展开更多
We prove the boundedness from Lp（T2） to itself, 1 〈 p 〈∞, of highly oscillatory singular integrals Sf（x, y） presenting singularities of the kind of the double Hilbert transform on a non-rectangular domain of in...We prove the boundedness from Lp（T2） to itself, 1 〈 p 〈∞, of highly oscillatory singular integrals Sf（x, y） presenting singularities of the kind of the double Hilbert transform on a non-rectangular domain of integration, roughly speaking, defined by ｜y′｜ 〉 ｜x′｜, and presenting phases λ（Ax ＋ By） with 0≤ A, B ≤ 1 and λ≥ 0. The norms of these oscillatory singular integrals are proved to be independent of all parameters A1 B and A involved. Our method extends to a more general family of phases. These results are relevant to problems of almost everywhere convergence of double Fourier and Walsh series.展开更多
文摘EDITOR-IN-CHIEF YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, ChinaAIMS AND SCOPE Science in China Series
文摘EDITOR YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, ChinaAIMS AND SCOPEScience in China Series E: Technological Sciences, an academic journal cosponsored by the Chinese Academy of Sciences and
文摘EDITOR YAN Luguang Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100080, China AIMS AND SCOPE Science in China Series E: Technological Sciences, an academic journal cosponsored by the Chinese Academy of Sciences and the Na-
文摘We prove the boundedness from Lp（T2） to itself, 1 〈 p 〈∞, of highly oscillatory singular integrals Sf（x, y） presenting singularities of the kind of the double Hilbert transform on a non-rectangular domain of integration, roughly speaking, defined by ｜y′｜ 〉 ｜x′｜, and presenting phases λ（Ax ＋ By） with 0≤ A, B ≤ 1 and λ≥ 0. The norms of these oscillatory singular integrals are proved to be independent of all parameters A1 B and A involved. Our method extends to a more general family of phases. These results are relevant to problems of almost everywhere convergence of double Fourier and Walsh series.
