Results 71 to 80 of about 2,696,780 (108)

Invariant subspaces of $RL^1$ [PDF]

arXiv, 2004
In this note we extend D. Singh and A. A. W. Mehanna's invariant subspace theorem for $RH^1$ (the real Banach space of analytic functions in $H^1$ with real Taylor coefficients) to the simply invariant subspaces of $RL^1$ (the real Banach space of functions in $L^1$ with real Fourier coefficients).
arxiv  

Some translation-invariant Banach function spaces which contain $c_0$ [PDF]

Studia Mathematica 163, 2 (2004) 137 - 155, 2009
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space $c_0$.
arxiv  

Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]

arXiv, 2012
We prove optimal integrability results for solutions of the $p(\cdot)$-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials maps $L^1$ to variable exponent weak Lebesgue spaces.
arxiv  

The class Bp for weighted generalized Fourier transform inequalities [PDF]

arXiv, 2013
In the present paper, we prove for the Dunkl transform which generalizes the Fourier transform, weighted inequalities when the weights belong to the well known class Bp. As application, we obtain for power weights Pitt's inequality.
arxiv  

Pointwise multipliers on martingale Campanato spaces [PDF]

arXiv, 2013
We introduce generalized Campanato spaces $\mathcal{L}_{p,\phi}$ on a probability space $(\Omega,\mathcal{F},P)$, where $p\in[1,\infty)$ and $\phi:(0,1]\to(0,\infty)$. If $p=1$ and $\phi\equiv1$, then $\mathcal{L}_{p,\phi}=\mathrm{BMO}$. We give a characterization of the set of all pointwise multipliers on $\mathcal{L}_{p,\phi}$.
arxiv  

Compactness in the Lebesgue-Bochner spaces L^p(μ;X) [PDF]

arXiv, 2013
Let (\Omega,\mu) be a finite measure space, X a Banach space, and let 1\le p<\infty. The aim of this paper is to give an elementary proof of the Diaz--Mayoral theorem that a subset V of L^p(\mu;X) is relatively compact if and only if it is uniformly p-integrable, uniformly tight, and scalarly relatively compact.
arxiv  

Associated Spaces of Generalized Classical Lorentz Spaces $GΛ_{p,ψ;\varphi}$ [PDF]

arXiv, 2013
In this paper we have calculated the associate norms of the $G\Lambda_{p,\psi;\varphi}$ generalized classical Lorentz spaces.
arxiv  

Rademacher functions in weighted symmetric spaces [PDF]

arXiv, 2015
The closed span of Rademacher functions is investigated in the weighted spaces X(w), where X is a symmetric space on [0,1] and w is a positive measurable function on [0,1]. By using the notion and properties of the Rademacher multiplicator space of a symmetric space, we give a description of the weights w for which the Rademacher orthogonal projection ...
arxiv  

Existence of continuous functions that are one-to-one almost everywhere [PDF]

Math. Scand. 118 (2016), 269-276, 2015
It is shown that given a metric space $X$ and a $\sigma$-finite positive regular Borel measure $\mu$ on $X$, there exists a bounded continuous real-valued function on $X$ that is one-to-one on the complement of a set of $\mu$ measure zero.
arxiv  

Some of the next articles are maybe not open access.

Related searches:

Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of p-growth

Rocky Mountain Journal of Mathematics, 2022
We prove a global mixed-norm gradient estimate in the framework of anisotropic Lorentz spaces to general elliptic equations of p-growth under weak regularity data.
H. Tian, Shenzhou Zheng
semanticscholar   +1 more source