Results 71 to 80 of about 3,877,417 (111)
Some of the next articles are maybe not open access.
Self-improving properties of discrete Muckenhoupt weights
Analysis, 2021In this paper, we will provide a complete study of the self-improving properties of the discrete Muckenhoupt class đpâ˘(đ){\mathcal{A}^{p}(\mathcal{C})} of weights defined on â¤+{\mathbb{Z}_{+}}.
S. Saker, D. OâRegan, R. Agarwal
semanticscholar +1 more source
Boundedness of both discrete Hardy and HardyâLittlewood maximal operators via Muckenhoupt weights
Rocky Mountain Journal of Mathematics, 2021We employ the self-improving property (backward propagation) for the discrete Muckenhoupt class đp, to prove that both discrete Hardy and discrete HardyâLittlewood maximal operators are bounded on the usual weighted Lebesgue space lup(â¤+) if and only if ...
S. Saker, R. R. Mahmoud
semanticscholar +1 more source
Journal of Differential Equations, 2019
We present a weighted $L_{q}(L_{p})$-theory ($p,q\in(1,\infty)$) with Muckenhoupt weights for the equation $$ \partial_{t}^{\alpha}u(t,x)=\Delta u(t,x) +f(t,x), \quad t>0, x\in \mathbb{R}^d.
B. Han, KyeongRo Kim, Daehan Park
semanticscholar +1 more source
We present a weighted $L_{q}(L_{p})$-theory ($p,q\in(1,\infty)$) with Muckenhoupt weights for the equation $$ \partial_{t}^{\alpha}u(t,x)=\Delta u(t,x) +f(t,x), \quad t>0, x\in \mathbb{R}^d.
B. Han, KyeongRo Kim, Daehan Park
semanticscholar +1 more source
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight version of the parabolic Muckenhoupt class with time lag. Then the authors
Weiyi Kong +3 more
semanticscholar +1 more source
In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight version of the parabolic Muckenhoupt class with time lag. Then the authors
Weiyi Kong +3 more
semanticscholar +1 more source
One-sided Muckenhoupt weights and one-sided weakly porous sets in
In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set $E\subset\mathbb{R}$ satisfies $d(\cdot,E)^{-\alpha}\in A_1^+(\mathbb{R})\cap L^1_\textrm{loc}(\mathbb{R})$ for some $\alpha>0$ if and ...
H. Aimar +3 more
semanticscholar +1 more source
Well-posedness and stability for Boussinesq systems in weak-Lorentz spaces with Muckenhoupt weights
Dynamical systemsWe investigate the existence and stability of mild solutions of Boussinesq system in the weak-Lorentz spaces with Muckenhoupt weight in the framework of half-spaces.
Tran Thi Ngoc, Pham Truong Xuan
semanticscholar +1 more source
Sharp inequalities for one-sided Muckenhoupt weights
Collectanea Mathematica, 2017Let $$A_\infty ^+$$Aâ+ denote the class of one-sided Muckenhoupt weights, namely all the weights w for which $$\mathsf {M}^+:L^p(w)\rightarrow L^{p,\infty }(w)$$M+:Lp(w)âLp,â(w) for some $$p>1$$p>1, where $$\mathsf {M}^+$$M+ is the forward Hardy ...
P. Hagelstein, I. Parissis, Olli Saari
semanticscholar +2 more sources
Thinness of sets in potential theory associated with local Muckenhoupt weights
Annales Polonici MathematiciWe study the thinness of sets with respect to weighted local Riesz capacities, where the associated weights are of local Muckenhoupt class. The thinness is characterized in terms of Wolff potentials.
K. H. Ooi
semanticscholar +1 more source
Colloquium Mathematicum, 2018
We prove a sharp integral inequality that generalizes the well known Hardy type integral inequality for negative exponents. We also give sharp applications in two directions for Muckenhoupt weights on R. This work refines the results that appear in [9].
Eleftherios N. Nikolidakis +1 more
semanticscholar +1 more source
We prove a sharp integral inequality that generalizes the well known Hardy type integral inequality for negative exponents. We also give sharp applications in two directions for Muckenhoupt weights on R. This work refines the results that appear in [9].
Eleftherios N. Nikolidakis +1 more
semanticscholar +1 more source