Results 31 to 40 of about 201 (131)
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves [PDF]
Summary: Under some weaker size conditions assumed on the integral kernels both on the unit sphere and in the radial directions, the sharp \(L^p\) boundedness was proved for the generalized parametric Marcinkiewicz integrals along polynomial compound curves via an extrapolation argument.
Liu, Feng, Fu, Zunwei, Wang, Liguang
openaire +1 more source
The Electoral Coalition of the Radical Right in Western Europe
ABSTRACT While most research on the radical right attempts to identify the one central voting motive among its supporters, few studies have sought to differentiate between different types of voters. Given this research gap, we assume that there are multiple paths to the radical right and that different groups have different motives for their support ...
Florian Buchmayr
wiley +1 more source
Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
ABSTRACT Background Although clinical trials are fundamental to advancing evidence‐based practice, significant heterogeneity in outcome reporting poses a considerable challenge to the validity of systematic reviews. This inconsistency impedes the ability to compare, synthesise and interpret research findings effectively.
Clyde T. Matava +20 more
wiley +1 more source
The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
wiley +1 more source
The generalized Marcinkiewicz-Zygmund inequality for trigonometric polynomials
Let \(T\) be a given trigonometric polynomial of degree \(n\) and \(p\) be a number such that ...
openaire +1 more source
Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces
This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang +3 more
wiley +1 more source
Global second‐order estimates in anisotropic elliptic problems
Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
wiley +1 more source
Commutators of Marcinkiewicz integrals associated with Schrödinger operator on generalized weighted Morrey spaces [PDF]
Summary: Let \(L=-\Delta+V\) be a Schrödinger operator, where \(\Delta\) is the Laplacian on \(\mathbb{R}^n\), while nonnegative potential \(V\) belongs to the reverse Hölder class. Let also \(\Omega\in L_q(S^{n-1})\) be a homogeneous function of degree zero with \(q>1\) and have a mean value zero on \(S^{n-1}\). In this paper, we study the boundedness
Guliyev, Vagif S. +3 more
openaire +1 more source

