Results 21 to 30 of about 145 (135)
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
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
Scalar and vector Muckenhoupt weights [PDF]
Indiana University Mathematics Journal, 2007 We inspect the relationship between the A p,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular, we will show if we are considering a norm-valued function ρ (·) such that, uniformly in all nonzero vectors X, ρ (·) (x) p ∈ Ap and ρ* (·) (x) q ∈ Aq, then the following hold: If p = q = 2,
Michael Lauzon, Sergei Treil
openaire +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
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
doaj +1 more source
Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups
Journal of the London Mathematical Society, Volume 103, Issue 3, Page 1066-1119, April 2021., 2021 Abstract We prove an almost everywhere convergence result for Bochner–Riesz means of Lp functions on Heisenberg‐type groups, yielding the existence of a p>2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the ...
Adam D. Horwich, Alessio Martini
wiley +1 more source