Results 31 to 40 of about 470 (149)
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
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
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
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
Structure of a generalized class of weights satisfy weighted reverse Hölder’s inequality
Journal of Inequalities and Applications, 2023 In this paper, we will prove some fundamental properties of the power mean operator M p g ( t ) = ( 1 ϒ ( t ) ∫ 0 t λ ( s ) g p ( s ) d s ) 1 / p , for t ∈ I ⊆ R + , $$ \mathcal{M}_{p}g(t)= \biggl( \frac{1}{\Upsilon(t)} \int _{0}^{t} \lambda (s)g^{p ...
S. H. Saker +3 more
doaj +1 more source
Muckenhoupt type weights and Berezin formulas for Bergman spaces [PDF]
, 2022 By means of Muckenhoupt type conditions, we characterize the weights $\omega$ on $\C$ such that the Bergman projection of $F^{2,\ell}_{\alpha}=H(\C)\cap L^2(\C,e^{-\frac{\alpha}2|z|^{2\ell}})$, $\alpha>0$, $\ell>1$, is bounded on $L^p(\C,e^{-\frac{\alpha
Fàbrega Casamitjana, Joan +2 more
core +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
The maximal operator in weighted variable spaces Lp(⋅)
Journal of Function Spaces and Applications, 2007 We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane.
Vakhtang Kokilashvili +2 more
doaj +1 more source
Summation of Multiple Fourier Series in Matrix Weighted -Spaces
Journal of Mathematics, 2013 This paper is concerned with rectangular summation of multiple Fourier series in matrix weighted -spaces. We introduce a product Muckenhoupt condition for matrix weights and prove that rectangular Fourier partial sums converge in the corresponding ...
Morten Nielsen
doaj +1 more source
Controllability of strongly degenerate parabolic problems with strongly singular potentials
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove a null controllability result for a parabolic Dirichlet problem with non smooth coefficients in presence of strongly singular potentials and a coefficient degenerating at an interior point.
Genni Fragnelli, Dimitri Mugnai
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