期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
We study the Knieper measures of the geodesic flows on non-compact rank 1 manifolds of non-positive curvature. We construct the Busemann density on th......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (7)
In this paper, we characterize that the boundedness, compactness and spectral structure of dual Toeplitz operators acting on the orthogonal complement......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
In this paper, we give a number of characterizations for a Banach space X which is isometric to a subspace of c(0), or, c(0)(Gamma), successively, in ......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (5)
Under the framework of the complex column-vector loop algebra C-p, we propose a scheme for generating nonisospectral integrable hierarchies of evoluti......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (7)
We study bi-Lyapunov stable homoclinic classes for a C-1 generic flow on a closed Riemannian manifold and prove that such a homoclinic class contains ......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
By the new spectrum originated from the single-valued extension property, we give the necessary and sufficient conditions for a bounded linear operato......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
Let G be a nonempty closed subset of a Banach space X. Let B(X) be the family of nonempty bounded closed subsets of X endowed with the Hausdorff dista......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (7)
In the paper, we study derivative estimates of the iterated spherical averages (A(t))(N) ( f). We obtain the optimal range of exponents (alpha, N, p) ......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (7)
For 1 <= p < infinity we introduce a notion of "p-mean oscillation" on C-n in terms of the rho metric induced by reproducing kernel of F-psi(2).......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (7)
In this paper, we study a new class of equations called mean-field backward stochastic differential equations (BSDEs, for short) driven by fractional ......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
Assume that r is a finite dimensional complex Lie superalgebra with a non-degenerate super-symmetric invariant bilinear form, p is a finite dimensiona......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
In this paper, we prove that the weighted BMO space BMOp(omega)={f is an element of L-loc(1):sup(Q)||chi Q||(-1)(Lp(omega))||(f-fQ)omega(-1)chi Q||Lp(......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (5)
Denote a semisimple Banach algebra with an identity e by A. This paper studies the Fredholm, Weyl and Browder spectral theories in a semisimple Banach......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (8)
In this paper, we study the higher genus FJRW theory of Fermat cubic singularity with maximal group of diagonal symmetries using Givental formalism. A......
期刊: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021; 37 (7)
In this paper, we consider the existence of analytic invariant curves of an iterative equation f(f(x)) = xe(a-x-f(x)) which arises from Ricker-type se......