Results 1 to 10 of about 21 (21)

Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds

open access: yesOpen Mathematics, 2023
We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
doaj   +1 more source

A boundedness result for Marcinkiewicz integral operator

open access: yesOpen Mathematics, 2020
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj   +1 more source

Embeddings between Triebel-Lizorkin Spaces on Metric Spaces Associated with Operators

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization.
Georgiadis Athanasios G.   +1 more
doaj   +1 more source

POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES

open access: yesForum of Mathematics, Sigma, 2018
We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $n\geqslant 3$, $\lim _{t\rightarrow 0}e^{it\unicode[STIX]{x1D6E5}}f(x)$$=f(x ...
XIUMIN DU   +3 more
doaj   +1 more source

NONCOMMUTATIVE DE LEEUW THEOREMS

open access: yesForum of Mathematics, Sigma, 2015
Let $\text{H}$ be a subgroup of some locally compact group $\text{G}$. Assume that $\text{H}$ is approximable by discrete subgroups and that $\text{G}$ admits neighborhood bases which are almost invariant under conjugation by finite subsets of $\text{H}$.
MARTIJN CASPERS   +3 more
doaj   +1 more source

Symmetric Besov-Bessel Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
doaj   +1 more source

Weighted decoupling estimates and the Bochner-Riesz means

open access: yesForum of Mathematics, Sigma
We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for ...
Jongchon Kim
doaj   +1 more source

The local geometry of idempotent Schur multipliers

open access: yesForum of Mathematics, Pi
A Schur multiplier is a linear map on matrices which acts on its entries by multiplication with some function, called the symbol. We consider idempotent Schur multipliers, whose symbols are indicator functions of smooth Euclidean domains.
Javier Parcet   +2 more
doaj   +1 more source

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