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Weighted composition-differentiation operators on the Hardy space

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (3)

In this paper, we study weighted composition-differentiation operators on the Hardy space H-2(D). We investigate which combinations of weights psi and......

Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (4)

Let (p) over right arrow is an element of(0,infinity)(n) and A be a general expansive matrix on R-n. In this article, the authors first introduce some......

Factorization of generalized holomorphic curve and homogeneity of operators

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (2)

The present paper concerns the homogeneity and similarity of operators in Cowen-Douglas class B-n (Omega). Let E be the Hermitian holomorphic vector b......

Smoothness of Orlicz function spaces equipped with the p-Amemiya norm

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (3)

In this paper, we will use the convex modular rho*(f) to investigate parallel to f parallel to(psi,q)* on (L-Phi)* defined by the formula parallel to ......

Dual spaces for variable martingale Lorentz-Hardy spaces

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (3)

Let Hp(),q be the variable Lorentz-Hardy martingale spaces. In this paper, we give a new atomic decomposition for these spaces via simple Lr-atoms (1&......

Weighted Leibniz-type rules for bilinear flag multipliers

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (3)

We establish Leibniz type rules for bilinear flag multipliers with limited regularity in the Lebesgue spaces with flag weights. As applications, we ob......

Convergence structures and locally solid topologies on vector lattices of operators

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (3)

For vector lattices E and F, where F is Dedekind complete and supplied with a locally solid topology, we introduce the corresponding locally solid abs......

An embedding theorem for anisotropic fractional Sobolev spaces

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (4)

Mixed-norm estimates are useful in studying solutions to dispersive equations. In this paper, we introduce the anisotropic fractional Sobolev spaces a......

Boundedness of operators generated by fractional semigroups associated with Schrodinger operators on Campanato type spaces via T1 theorem

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (4)

Let L=-Delta+V be a Schrodinger operator, where the nonnegative potential V belongs to the reverse Holder class B-q. By the aid of the subordinative f......

On the compactness of oscillation and variation of commutators

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (2)

In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular i......

A Beurling-Blecher-Labuschagne type theorem for Haagerup noncommutative L-p spaces

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (2)

Let M be a sigma-finite von Neumann algebra, equipped with a normal faithful state phi, and let A be maximal subdiagonal subalgebra of M and 1 <= p......

Random dynamics of non-autonomous fractional stochastic p-Laplacian equations on <mml:msup>RN</mml:msup>

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (1)

This article is concerned with the random dynamics of a wide class of non-autonomous, non-local, fractional, stochastic p-Laplacian equations driven b......

A bridge connecting Lebesgue and Morrey spaces via Riesz norms

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (1)

In this article, via combining Riesz norms with Morrey norms, the authors introduce and study the so-called Riesz-Morrey space, which differs from the......

Atomic characterizations of variable Hardy spaces on domains and their applications

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (1)

Let Omega be a proper open subset of R-n and p(center dot) : Omega -&gt; (0, infinity) a variable exponent function satisfying the globally log-Holder......

The commutant and invariant subspaces for dual truncated Toeplitz operators

期刊: BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021; 15 (1)

Dual truncated Toeplitz operators on the orthogonal complement of the model space Ku2(=H2 circle minus uH2) with u nonconstant inner function are defi......

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