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On 2-MicrolocalHerz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (3)

In this paper, 2-microlocalHerz type Besov and Triebel-Lizorkin spaceswith variable exponents are introduced for the first time. Then, we give charact......

A Note on Gaussian BV Function and Its Heat Semigroup Characterization

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (3)

In this note, we investigate the properties of Gaussian BV functions and give a heat semigroup characterization of BV functions in Gauss space. In par......

On Function Spaces with Mixed Norms - A Survey

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (3)

The targets of this article are threefold. The first one is to give a survey on the recent developments of function spaces with mixed norms, including......

Weakly I-semiregular Rings and I-semiregular Rings

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (4)

Let I be an ideal of a ring R. We call R weakly I-semiregular if R/I is a von Neumann regular ring. This definition generalizes I-semiregular rings. W......

Nontrivial Solution for a Kirchhoff Type Problem with Zero Mass

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (4)

Consider the Kirchhoff type equation -(a+b integral(RN) vertical bar del u vertical bar(2)dx)Delta u - (1/vertical bar x vertical bar(mu)*F(u)) f(u) i......

L-p Harmonic k-forms on Complete Noncompact Hypersurfaces in Sn+1 with Finite Total Curvature

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (4)

In general, the space of L-p harmonic forms H-k(L-p(M)) and reduced L-p cohomology H-k(L-p(M)) might be not isomorphic on a complete Riemannian manifo......

A Fast Conservative Scheme for the Space Fractional Nonlinear Schrodinger Equation with Wave Operator

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (4)

A new efficient compact difference scheme is proposed for solving a space fractional nonlinear Schrodinger equation with wave operator. The scheme is ......

Non-Negative Integer Matrix Representations of a Z(+)-ring

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (4)

The Z(+)-ring is an important invariant in the theory of tensor category. In this paper, by using matrix method, we describe all irreducible Z(+)-modu......

On the h-almost Yamabe Soliton

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (4)

We introduce the concept h-almost Yamabe soliton which extends naturally the almost Yamabe soliton by Barbosa-Ribeiro and obtain some rigidity results......

Nonparametric Mean Curvature Flow with Nearly Vertical Contact Angle Condition

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (1)

For any bounded strictly convex domain Omega in R-n with smooth boundary, we find the prescribed contact angle which is nearly perpendicular such that......

Graham-Witten's Conformal Invariant for Closed Four Dimensional Submanifolds

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (2)

It was proved by Graham and Witten in 1999 that conformal invariants of submanifolds can be obtained via volume renormalization of minimal surfaces in......

On the Positivity of Scattering Operators for Poincare-Einstein Manifolds

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (2)

In this paper, we mainly study the scattering operators for a Poincare-Einstein manifold (Xn+1,g(+)), which define the fractional GJMS operators P-2 g......

Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kahler Manifolds

期刊: JOURNAL OF MATHEMATICAL STUDY, 2021; 54 (2)

We prove the smoothness of weak solutions to a class of complex Hessian equations on closed Kahler manifolds, by use of the smoothing property of the ......

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