Fubini theorems for Orlicz spaces of Lebesgue-Bochner measurable functions
, 1972 Let (X, V, v) be the volume space formed as the product of the volume spaces (Xi, Vi, v) (i=1, 2). Let (p, q) be a pair of complementary (continuous) Young's functions, let Y, Z, Z1, Z2, W be Banach spaces, let w be a multilinear continuous operator on ...
V. Zander
semanticscholar +1 more source
Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm
, 2007 We give some criteria for extreme points and strong U-points in Musielak{ Orlicz sequence spaces equipped with the Orlicz norm. It follows from these results that the notion of the strong U-point is essentially stronger than the notion of the extreme ...
Yunan Cui, H. Hudzik, M. Wisła, M. Zou
semanticscholar +1 more source
antiSMASH 5.0: updates to the secondary metabolite genome mining pipeline
Nucleic Acids Res., 2019 Secondary metabolites produced by bacteria and fungi are an important source of antimicrobials and other bioactive compounds. In recent years, genome mining has seen broad applications in identifying and characterizing new compounds as well as in ...
K. Blin +7 more
semanticscholar +1 more source
Carleson embeddings with loss for Bergman-Orlicz spaces of the unit ball [PDF]
arXiv, 2020 We prove Carleson embeddings for Bergman-Orlicz spaces of the unit ball that extend the lower triangle estimates for the usual Bergman spaces.
arxiv
Interior estimates in Campanato spaces related to quadratic functionals [PDF]
arXiv, 2020 In this paper we obtain interior estimates in Campanato spaces for the derivatives of the minimizers of quadratic functionals.
arxiv
Cesàro convergence of martingale difference sequences and the Banach-Saks and Szlenk theorems
, 1988 It is shown that, for 1 2, E(fj, Ej-1) = 0, where Ej is the algebra generated by the simple functions fl,.. ., fj, and hj = gnj, for j = 1,... , k 1. As limn IIE(gn, Ek-1)j1p = 0, we can choose nk > nk-1 with IIE(hk,Sk-1)IIp < 2 , where hk = 9rk We take ...
F. Freniche
semanticscholar +1 more source
Factorable bounded operators and Schwartz spaces
, 1974 A necessary condition for factoring continuous linear maps with domain co or 1l through a class of spaces which include the 4p spaces (in fact, include the Y, spaces) for 2_p Z and J:Z-* Y such that S=JT.
Steven F. Bellenot
semanticscholar +1 more source
Traces of Subharmonic Functions to Fractal Sets [PDF]
arXiv, 1999 We study traces of a class of subharmonic functions to Ahlfors regular subsets of $\Co^{n}$. In particular, we establish for the traces a generalized BMO-property and the reverse H\"{o}lder inequality.
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
Sobolev spaces, Lebesgue points and maximal functions [PDF]
arXiv, 2013 In this note we study boundedness of a large class of maximal operators in Sobolev spaces that includes the spherical maximal operator. We also study the size of the set of Lebesgue points with respect to convergence associated with such maximal operators.
arxiv