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Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice $$\...
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Article
A new two-term exponential sums and its fourth power mean
The main purpose of this paper is using the analytic methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of a new two-term exponential...
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Article
A new notion on weighted Riemann curvature
In this paper we discuss two notions \(\mathrm{Rm}^{\mathbf{WY}}\) ...
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Article
On critical exponential Kirchhoff systems on the Heisenberg group
In this paper, existence of solutions is established for critical exponential Kirchhoff systems on the Heisenberg group by using the variational method. The novelty of our paper is that not only the nonlinear ...
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Article
Interaction tumor-immune model with time-delay and immuno-chemotherapy protocol
This research explores a delay differential model to describe the dynamics of tumour-immune interactions in presence of immuno-chemotherapy. The model includes a constant delay in the recruitment term of the i...
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Article
Integral representation bound of the true solution to the BVP of double-sided fractional diffusion advection reaction equation
This paper is devoted to develo** the regularity results of the true (classic) solution to the homogeneous BVP of double-sided fractional diffusion advection reaction equation with variable coefficients on t...
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Article
Dividend Payments in a Perturbed Compound Poisson Model with Stochastic Investment and Debit Interest
We consider a compound Poisson insurance risk model perturbed by diffusion with stochastic return on investment and debit interest. If the initial surplus is nonnegative, then the insurance company can invest ...
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Article
A Remark on John–Nirenberg Theorem for Martingales
The paper is mainly devoted to establishing an extension of the John–Nirenberg theorem for martingales. More precisely, let 1 < p < ∞ and 0 < q < ∞. If the stochastic basis (Fn)n≥0 is regular, then BMOp,q = BMO1 ...
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Article
A Class of Double Crossed Biproducts
Let H be a bialgebra, let A be an algebra and a left H-comodule coalgebra, and let B be an algebra and a right H-comodule coalgebra. Also let f : H ⨂ H → A ⨂ H, R : H ⨂ A → A ⨂ H, and T : B ⨂ H → H ⨂ B be linear ...
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Article
Decay Estimates for a Kind of Linear Wave Equations
We consider one kind of dissipative wave equations with exponential speed of propagation. An arbitrary power decay rate for the L2 -norm and energy is obtained by using the multiplier method.
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Article
Boundedness of bi-parameter Littlewood–Paley operators on product Hardy space
Let \(n_1=n\ge 1, n_2=m\ge 1\) ...
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Article
Groups All Cyclic Subgroups of Which are BNA-Subgroups
Suppose that G is a finite group and H is a subgroup of G. We say that H is a BNA-subgroup of G if either H x = H or x ∈ <H, H ...
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Article
On the Derived Norm of a Finite Group
Given a finite group G, we define a subgroup CS(G) as the intersection of the normalizers of all subgroups of the derived subgroup of G. Let CS 0 = 1. We define CS
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Article
A Note on SΦ-Supplemented Subgroups
We give new and brief proofs of the results obtained by X. Li and T. Zhao [Ukr. Math. J., 64, No. 1, 102–109 (2012)].
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Article
The locus of curves with \(D_n\) -symmetry inside \(\mathfrak M_g\)
The aim of this paper is to determine the irreducible components of \(\mathfrak {M}_{g}(D_n)\)
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Article
Certain Regularity of the Entropy Solutions for Nonlinear Parabolic Equations with Irregular Data
We introduce new sets of functions different both from the space introduced in [Ph. Bénilan, L. Boccardo, T. Gallouёt, R. Gariepy, M. Pierre, and J. L. Vazquez, Ann. Scuola Norm. Super. Pisa, 22, No. 2, 241–273 (...
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Article
Notes on the Uniqueness and Value Sharing for Meromorphic Functions Concerning Differential Polynomials
We study the problem of uniqueness of meromorphic functions concerning differential polynomials, and obtain some results. These results improve the results obtained earlier by Li [J. Sichuan Univ. (Natural Sci...
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Article
CLT-Groups with Hall S-Quasinormally Embedded Subgroups
A subgroup H of a finite group G is said to be Hall S-quasinormally embedded in G if H is a Hall subgroup of the S-quasinormal closure H SQG . W...
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Article
s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups
We study the p-nilpotency of a group such that every maximal subgroup of its Sylow p-subgroups is s-conditionally permutable for some prime p. By using the classification of finite simple groups, we get interesti...
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Article
Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups
A subgroup H of a group G is said to be weakly s-semipermutable in G if G has a subnormal subgroup T such that HT = G and H ∩ T ≤ ...