Results 41 to 50 of about 2,670,802 (86)

Pointwise estimates to the modified Riesz potential [PDF]

arXiv, 2014
We prove pointwise estimates to the modified Riesz potential. We show the boundedness of its Luxemburg norm. As an application we obtain Orlicz embedding results. We study the sharpness of the results.
arxiv  

The Liouville theorems for elliptic equations with nonstandard growth [PDF]

arXiv, 2014
We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved. The discussion is illustrated by a number of examples.
arxiv  

On applications of Orlicz Spaces to Statistical Physics [PDF]

, 2013
We present a new rigorous approach based on Orlicz spaces for the description of the statistics of large regular statistical systems, both classical and quantum. This approach has the advantage that statistical mechanics is much better settled. In particular, a new kind of renormalization leading to states having a well defined entropy function is ...
arxiv   +1 more source

ON PROPERTIES OF SPACES WITH MARTINGALE MIXED NORM WITH SUMMABILITY EXPONENTS CLOSE TO ONE

Journal of Mathematical Sciences, 2023
I. Pavlov
semanticscholar   +1 more source

Variable Exponent Fock Spaces [PDF]

arXiv, 2017
In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
arxiv  

The Grothendieck property in Marcinkiewicz spaces [PDF]

arXiv, 2019
The main pupose of this paper is to fully characterize continuous concave functions $\psi $ such that the corresponding Marcinkiewicz Banach function space $M_{\psi }$ is a Grothendieck space.
arxiv  

Optimal transport of vector measures. [PDF]

Calc Var Partial Differ Equ, 2021
Ciosmak KJ.
europepmc   +1 more source

Embeddings of rearrangement invariant spaces that are not strictly singular [PDF]

Positivity, 4, (2000), 397-404., 2000
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L_1([0,1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in the Orlicz space L_Phi with Phi(x) = exp(x^2)-1.
arxiv  

On algebraic properties of sets of Banach ideal function spaces [PDF]

arXiv, 2002
It is shown that every set I(m) of Banach lattices of measurable functions defined on a measure space (Q,S,m), equipped with a some natural ordering became a modular lattice, which is Dedekind complete provided m is a probability measure. Moreover, some natural operations on considered spaces are in Galois connexion.
arxiv  

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