Results 11 to 20 of about 2,017,635 (118)
Проблемы анализа, 2023 Let (𝒳 , 𝑑, 𝜇) be a space of homogeneous type, in the sense of Coifman and Weiss, and 𝜙 : 𝒳 x [0,\infty) -> [0, \infty) satisfy that, for almost every 𝑥 \in 𝒳, 𝜙(𝑥,.) is an Orlicz function and that 𝜙(., 𝑡) is a Muckenhoupt weight uniformly in 𝑡 \in [0 ...
X. Yan
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Mathematical Methods in the Applied Sciences, Volume 45, Issue 2, Page 770-792, 30 January 2022., 2022 In this paper, we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in the principle part of the elliptic operator. The objective is to provide a well‐posedness analysis of the corresponding system and derive conditions for its controllability through boundary actions.
Peter I. Kogut +2 more
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A Capacity Associated with the Weighted Lebesgue Space and Its Applications
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we focus on a further study of the weighted Lebesgue capacity associated with the following fractional heat equation: ∂t+−Δxαut,x=0, ∀α,t,x∈0,1×0,∞×ℝn,u0,x=fx, ∀x∈ℝn.. More properties of that capacity are explored, and applications to a trace inequality for the weak solution of the equation are considered.
Guoliang Li +3 more
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Weighted Grand Herz‐Type Spaces and Its Applications
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the weighted grand Herz spaces and weighted grand Herz‐type Hardy spaces. The decompositional characterizations of these spaces are established. As its applications, the boundedness of some sublinear operators are established.
Xia Yu, Zongguang Liu, Andrea Scapellato
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Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir +3 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Let (X, d, μ) be a metric measure space endowed with a metric d and a non‐negative Borel doubling measure μ. Let L be a non‐negative self‐adjoint operator on L2(X). Assume that the (heat) kernel associated to the semigroup e−tL satisfies a Gaussian upper bound.
Jiawei Shen +3 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we establish some new generalizations of reversed dynamic inequalities of Hilbert‐type via supermultiplicative functions by applying reverse Hölder inequalities with Specht’s ratio on time scales. We will generalize the inequalities by using a supermultiplicative function which the identity map represents a special case of it. Also, we
M. Zakarya +5 more
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Journal of Inequalities and Applications, 2019 In this paper, we obtain a weighted norm inequality of bilinear Calderón–Zygmund operators in Herz–Morrey spaces with variable exponents and weight in the variable Muckenhoupt class.
Shengrong Wang, Jingshi Xu
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Commutators of Pseudodifferential Operators on Weighted Hardy Spaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we establish an endpoint estimate for the commutator, [b, T], of a class of pseudodifferential operators T with symbols in Hörmander class Sρ,δmRn. In particular, there exists a nontrivial subspace of BMORn such that, when b belongs to this subspace, the commutators [b, T] is bounded from Hω1Rn into Lω1Rn, which we extend the well‐known ...
Yu-long Deng, Antonio Masiello
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Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part
Advances in Nonlinear Analysis, 2022 Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
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