算子理论与调和分析 椭圆与抛物边值问题 非线性偏微分方程 谱理论与复分析"算子理论与调和分析(à la Alan McIntosh)
近期论文
[A]: 已发表或接受待发表; [S]: 已投稿; [P]: 预印本 [A1]. Weighted tent spaces with Whitney averages: factorization, interpolation and duality Mathematische Zeitschrift 282 (2016), no. 3-4, 913-933 [A2]. Conical maximal regularity for elliptic operators via Hardy spaces Analysis & PDE 10 (2017), no. 5, 1081-1088 [A3]. Calder\\'on-Zygmund decompositions in tent spaces and weak-type endpoint bounds for two quadratic functionals of Stein and Fefferman-Stein Studia Mathematica 239 (2017), no. 2, 123-132 [A4]. Remarks on weak-type estimates for certain grand square functions. (Russian) Matematicheskie Zametki 103 (2018), no. 4, 544-548 [A5]. Singular integral operators on tent spaces: a Calder\\'on-Zygmund theory and weak-type endpoint estimates Journal of Evolution Equations 18 (2018), no. 2, 899-921 [A6]. Singular integral operators on tent spaces over spaces of homogeneous type: Fefferman-Stein box maximal functions and pointwise Carleson type estimates Archiv der Mathematik 111 (2018), no. 6, 633-648 [S1]. Conical maximal regularity and extrapolation of R-analyticity ------ [A3], [A5], [S1]和[A1]依次为博士论文前四章(其中[S1]的标题已变更) [S2]. On representation and regularity of some weak solutions to abstract Cauchy problems [S3]. Remarks on maximal regularity: approximation families and weighted estimates ------ [S2]和[S3]为对博士论文第五章(Cauchy non-integral formulae)的补充 [P1]. Atomic decompositions in tent spaces and some functional inequalities revisited [P2]. The atomic decomposition for tent spaces over general spaces of homogeneous type: a multiplicative approach ------ [A4, P1], [A6], [A2]和[P2]分别为对[A3], [A5], [S1]和[A1]的补充
