Advances in Operator Theory
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Carleson measures on Dirichlet type spaces in the quaternionic unit ball
Advances in Operator Theory - Tập 7 - Trang 1-16 - 2022
In this paper, we characterize Carleson measures on the Dirichlet type space
$$\mathcal D_{\alpha }^{p}$$
for different values of p, q and
$$\alpha$$
and in terms of axially symmetric completion o...... hiện toàn bộ
A revisit to inertia of the matrices of the type $$[(q_i+q_j)^r]$$ and $$\left[ \frac{{q_i}^{r+1}-{q_j}^{r+1}}{q_i-q_j}\right] $$
Advances in Operator Theory - Tập 8 - Trang 1-8 - 2023
For given real numbers
$$00,$$
the inertia of the matrix
$$L_{r+1}=\left[ \frac{{q_i}^{r+1}-{q_... ... hiện toàn bộ
Multipliers of double Fourier–Haar series
Advances in Operator Theory - Tập 6 - Trang 1-22 - 2021
The multipliers of double Fourier–Haar series for functions from anisotropic Lorentz spaces are investigated. Necessary and sufficient conditions are obtained for the sequence
$$\lambda =\{\lambda _{k_1k_2}^{j_1j_2}\}$$
to belong to the class
...... hiện toàn bộ
Removable singularities for subsolutions of elliptic equations involving weighted variable exponent Sobolev spaces
Advances in Operator Theory - Tập 8 - Trang 1-18 - 2023
We study the removability of a singular set for elliptic equations involving weight functions and variable exponents. We consider the case where the singular set satisfies conditions related to some generalization of upper Minkowski content or a net measure, and give sufficient conditions for removability of this singularity for equations in the weighted variable exponent Sobolev spaces
...... hiện toàn bộ
Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives
Advances in Operator Theory - Tập 6 - Trang 1-18 - 2020
This paper addresses the existence and location results for coupled system with two fourth-order differential equations with dependence on all derivatives in nonlinearities and subject to Lidstone-type boundary conditions. To guarantee the existence and location of the solutions, we applied lower and upper solutions technique and degree theory. In this context, we highlight a new type of Nagumo co...... hiện toàn bộ
The Cesàro–Gamma operator and its associated sequence space
Advances in Operator Theory - Tập 6 - Trang 1-21 - 2021
In this paper, we introduce Cesàro–Gamma matrix that exhibits the structure of both the Cesàro and Gamma matrices. We study the domain of this new matrix in the space
$$\ell _p$$
(
$$1\le p\le \infty$$
...... hiện toàn bộ
The operator $$\sqrt{-1}\widehat{c}(V)(d+\delta )$$ and the Kastler–Kalau–Walze type theorems
Advances in Operator Theory - Tập 7 - Trang 1-43 - 2022
In this paper, we obtain two Lichnerowicz type formulas for the operators
$$\sqrt{-1}\widehat{c}(V)(d+\delta )$$
and
$$-\sqrt{-1}(d+\delta )\widehat{c}(V)$$
. And we give the proof of Kastler–Kalau...... hiện toàn bộ
Some upper bounds for the $$\mathbb {A}$$ -numerical radius of $$2\times 2$$ block matrices
Advances in Operator Theory - Tập 6 - Trang 1-13 - 2020
Let
$$\mathbb {A}=\begin{bmatrix} A &{} 0 \\ 0 &{} A \end{bmatrix}$$
be the
$$2\times 2$$
diagonal operator matrix determined by a positive bounded linear operator A on a Hilbert space. For semi-H...... hiện toàn bộ
A multilinear variant of the Saphar theorem for the gauche tensor norm
Advances in Operator Theory - Tập 8 Số 4 - 2023
Further improvement of Alzer–Fonseca–Kovačec’s type inequalities via weak sub-majorization with applications
Advances in Operator Theory - Tập 9 Số 1 - 2024
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