Results 61 to 70 of about 2,696,780 (108)
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
An extension of a result by Talalyan on the representation of measurable functions by Schauder bases
, 1972 We define a class of Banach spaces which in particular include the L1, 1 1. This paper generalizes Talalyan's result to normalized Schauder bases chosen from a larger class of spaces which in particular includes Ll [a, bi and the separable Orlicz spaces.
Benjamin Braun
semanticscholar +1 more source
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
Embeddings of rearrangement invariant spaces that are not strictly singular
, 1999 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 ...
Montgomery-Smith, S. J., Semenov, E. M.
core +1 more source
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
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
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