Results 51 to 60 of about 87,021 (190)
Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions
Journal of Mathematics, 2021 It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
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Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
, 2018 This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative $d$-torus $\mathbb{T}^d_\theta$ (with $\theta$ a skew symmetric real $d\times d$-matrix).
Xiong, Xiao, Xu, Quanhua, Yin, Zhi
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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Trace principle for Riesz potentials on Herz-type spaces and applications
Journal of Inequalities and ApplicationsWe establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
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Construction of Optimal Interpolation Formulas in the Sobolev Space [PDF]
, 2022 Kh. M. Shadimetov +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Convolution Algebraic Structures Defined by Hardy-Type Operators
Journal of Function Spaces and Applications, 2013 The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana +2 more
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Besov regularity of solutions to the p-Poisson equation [PDF]
, 2014 In this paper, we study the regularity of solutions to the $p$-Poisson equation for all ...
Dahlke, Stephan +4 more
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
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