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The Uniqueness of Knieper Measure on Non-compact Rank 1 Manifolds of Non-positive Curvature

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......

Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space

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......

Banach Spaces Which are Isometric to Subspaces of c(0)(Gamma)

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 ......

A Scheme for Generating Nonisospectral Integrable Hierarchies and Its Related Applications

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......

Bi-Lyapunov Stable Homoclinic Classes for C-1 Generic Flows

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 ......

Property (omega) and the Single-valued Extension Property

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......

On Weak Well-posedness of the Nearest Point and Mutually Nearest Point Problems in Banach Spaces

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......

Derivative Estimates of Iterated Spherical Average and Extension

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) ......

Mean Oscillation and Hankel Operators on Fock-type Spaces

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).......

Mean-Field Backward Stochastic Differential Equations Driven by Fractional Brownian Motion

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 ......

Dirac Operators on Quadratic Lie Superalgebras

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......

Characterizations of Weighted BMO Space and Its Application

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(......

The Weyl's Theorem and Its Perturbations in Semisimple Banach Algebra

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......

Higher Genus FJRW Theory for Fermat Cubic Singularity

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......

Analytic Invariant Curves for an Iterative Equation Related to Ricker-type Second-order Equation

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......

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