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      Littlewood-Paley functions and some smooth function spaces

      發布者:文明辦發布時間:2020-12-09瀏覽次數:10


      主講人:趙發友  上海大學副教授


      時間:2020年12月10日9:00


      地點:騰訊會議 136 397 488


      舉辦單位:數理學院


      主講人介紹:趙發友, 理學博士,現為上海大學數學系副教授、博士生導師、數學系副系主任。研究方向:調和分析及其應用。美國Mathematical Review、德國  Zentralblatt Math評論員、中國高等教育學會教育數學專業委員會理事。University of  Missouri-Columbia和University of  Wisconsin-Milwaukee訪問學者。曾主持國家自然科學青年基金1項,目前主持國家自然科學面上基金1項,主持上海市自然科學面上基金1項。  自2012年來, 已發表20余篇SCI期刊論文, 如《J. Funct. Anal.》, 《Pacific J. Math.》, 《Constr.  Approx.》,《J. Approx. Theory》,《Potential Anal.》等.


      內容介紹:In this talk, we establish Littlewood-Paley characterizations of Sobolev spaces,  Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several  square functions defined via the spherical average, the ball average, the  Bochner–Riesz means and some other well known operators. We provide a simple  proof so that we are able to extend and improve many results published in recent  papers. This is a joint work with Jiecheng Chen and Dashan Fan.

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