Results 71 to 80 of about 2,460 (112)

Some estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications [PDF]

open access: yesarXiv, 2013
In this paper we study some estimates of norms in variable exponent Lebesgue spaces for a singular integral operators that are imaginary powers of the Laplace operator in $\R^n$. Using Mellin transform argument, from this estimates we obtain boundedness for a family of maximal operators in variable exponent Lebesgue spaces, which are closely related to
arxiv  

Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms

open access: yesAlexandria Engineering Journal, 2023
Non-ideal sampling has nourished as one of the most attractive alternatives to classical sampling, which relies on shift-invariant spaces. The present study focuses on investigating the non-ideal sampling in shift-invariant spaces associated with the ...
Waseem Z. Lone   +5 more
doaj  

Existence of a weak bounded solution for nonlinear degenerate elliptic equations in Musielak-Orlicz spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
doaj   +1 more source

The proportional UAP characterizes weak Hilbert spaces [PDF]

open access: yesarXiv, 1990
We prove that a Banach space has the uniform approximation property with proportional growth of the uniformity function iff it is a weak Hilbert space.
arxiv  

A note on lower bounds of martingale measure densities

open access: yes, 2005
For a given element $f\in L^1$ and a convex cone $C\subset L^\infty$, $C\cap L^\infty_+=\{0\}$ we give necessary and sufficient conditions for the existence of an element $g\ge f$ lying in the polar of $C$. This polar is taken in $(L^\infty)^*$ and in $L^
Rokhlin, Dmitry, Schachermayer, Walter
core   +1 more source

A new perspective on the Riesz potential

open access: yesAdvances in Nonlinear Analysis, 2017
This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only 𝔏q,q⁢p-1⁢(n-α⁢p)∩𝔏p,κ-α⁢p\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains Iα⁢Lp,κ{I_{\alpha}L^{p,\kappa ...
Xiao Jie
doaj   +1 more source

BMO and the John-Nirenberg Inequality on Measure Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢.
Dafni Galia, Gibara Ryan, Lavigne Andrew
doaj   +1 more source

Traces of Subharmonic Functions to Fractal Sets [PDF]

open access: yesarXiv, 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  

Arkansas Soybean Performance Tests 2023 [PDF]

open access: yes
Soybean variety and strain performance tests are conducted each year in Arkansas by the University of Arkansas System Division of Agriculture’s Arkansas Crop Variety Improvement Program. The tests provide information to companies developing varieties and/
Bond, R. D.   +3 more
core   +1 more source

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