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BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (4)

We contribute to the study of Rota-Baxter operators on types of algebras other than associative and Lie algebras. If A is an algebra of a certain type......

BMO-type estimates of Riesz transforms associated with generalized Schrodinger operators

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (3)

In this paper we show that the dual Riesz transform associated with the generalized Schrodinger operator L is bounded from BMO into BMOL and give the ......

Weighted higher order exponential type inequalities in metric spaces and applications

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (4)

In this paper, we establishweighted higher order exponential type inequalities in the geodesic space (X, d, mu) by proposing an abstract higher order ......

On some higher order equations admitting meromorphic solutions in a given domain

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (4)

This paper relates to a recent trend in complex differential equations which studies solutions in a given domain. The classical settings in complex eq......

Meromorphic functions sharing unique range sets with one or two elements

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (3)

The purpose of this paper is to study the problems of meromorphic functions sharing unique range sets with one or two elements, which can be seen as a......

Weighted pseudo delta-almost automorphic functions and abstract dynamic equations

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (2)

In this paper, we propose the concept of a weighted pseudo delta-almost automorphic function under the matched space for time scales and we present so......

Generalized Olsen inequality and Schrodinger type elliptic equations

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (2)

In this paper, by means of the generalized Olsen type inequality, related to the Riesz potential and its commutators, the author establishes the inter......

Notes on quasi-Frobenius rings

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2021; 28 (1)

We give some new characterizations of quasi-Frobenius rings. Namely, we prove that for a ring R, the following statements are equivalent: (1) R is a q......

Inner functions as multipliers and zero sets in weighted Dirichlet spaces

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (4)

In this note, using some conditions on the weight function K, we investigate the inner functions as multipliers in weighted Dirichlet spaces, and we a......

Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (4)

We establish off-diagonal extrapolation on mixed variable Lebesgue spaces. As its applications, we obtain the boundedness for strong fractional maxima......

L-2 boundedness for commutators of fractional differential type Marcinkiewicz integral with rough variable kernel and BMO Sobolev spaces

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (4)

In this paper, for 0 < gamma < 1 and b is an element of I-gamma(BMO), the authors give the L-2(R-n) boundedness of mu(gamma;b), the commutator o......

Weighted boundedness of multilinear singular integral operators with non-smooth kernels for the extreme cases

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (2)

The weighted boundedness properties of multilinear operators associated to singular integral operators with non-smooth kernels for extreme cases are o......

On the main oscillational properties of fractional differential equations

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (2)

The paper establishes the basic oscillational properties of differential equations of fractional order. It is also shown that the so-called fractional......

Carleson measure and Volterra type operators on weighted BMOA spaces

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (3)

Let mu be a nonnegative Borel measure on the unit disk D. In this paper, we investigate measures mu such that the weighted BMOA spaces are embedded bo......

On adjoint resolutions and dimensions of modules

期刊: GEORGIAN MATHEMATICAL JOURNAL, 2020; 27 (3)

We introduce and investigate the adjoint resolutions and adjoint dimensions of modules. As a consequence, we give some new characterizations of weak g......

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