AbstractThe norm of the Riesz projection from L∞(Tn) to Lp(Tn) is considered. It is shown that for n=1, the norm equals 1 if and only if p⩽4 and that the norm behaves asymptotically as p/(πe) when p→∞. The critical exponent pn is the supremum of those p for which the norm equals 1. It is proved that 2+2/(2n−1)⩽pn<4 for n>1; it is unknown whether the critical exponent for n=∞ exceeds 2
AbstractWe present an effective algorithm for estimating the norm of an operator mapping a low-dimen...
AbstractWe derive integral representations for the renewal density u associated with a square integr...
$T$ is a Ritt operator in $L^p$ if $\sup_n n\|T^n-T^{n+1}\|<\infty$. From \cite{LeMX-Vq}, if $T$ is ...
AbstractThe maximal operators for Cesàro or (C,α) and Riesz summability with respect to Walsh–Fourie...
AbstractWe prove the following inequality with a sharp constant,‖P+f‖L p(T)⩽csc πp ‖f‖Lp(T),f∈Lp(T),...
In this paper, we prove that the $L^p(\mathbb{R}^d)$ norm of the maximal truncated Riesz transform i...
AbstractOur aim in this paper is to deal with Sobolev's type inequality, Hardy's type inequality and...
The goal of this paper is to study the Riesz transforms ∇ A-1/2 where A is the Schrödinger operator...
AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes. Using the...
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
AbstractThe Lp norm of the Hilbert transform of the characteristic function of a set is invariant wi...
AbstractLet d be a given positive integer and let {Rj}j=1d denote the collection of Riesz transforms...
AbstractWhen Hardy–Littlewood maximal operator is bounded on Lp(⋅)(Rn) space we prove [Lp(⋅)(Rn),BMO...
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar i...
AbstractThe paper deals with the problem of ideals of H∞: describe increasing functions φ⩾0 such tha...
AbstractWe present an effective algorithm for estimating the norm of an operator mapping a low-dimen...
AbstractWe derive integral representations for the renewal density u associated with a square integr...
$T$ is a Ritt operator in $L^p$ if $\sup_n n\|T^n-T^{n+1}\|<\infty$. From \cite{LeMX-Vq}, if $T$ is ...
AbstractThe maximal operators for Cesàro or (C,α) and Riesz summability with respect to Walsh–Fourie...
AbstractWe prove the following inequality with a sharp constant,‖P+f‖L p(T)⩽csc πp ‖f‖Lp(T),f∈Lp(T),...
In this paper, we prove that the $L^p(\mathbb{R}^d)$ norm of the maximal truncated Riesz transform i...
AbstractOur aim in this paper is to deal with Sobolev's type inequality, Hardy's type inequality and...
The goal of this paper is to study the Riesz transforms ∇ A-1/2 where A is the Schrödinger operator...
AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes. Using the...
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
AbstractThe Lp norm of the Hilbert transform of the characteristic function of a set is invariant wi...
AbstractLet d be a given positive integer and let {Rj}j=1d denote the collection of Riesz transforms...
AbstractWhen Hardy–Littlewood maximal operator is bounded on Lp(⋅)(Rn) space we prove [Lp(⋅)(Rn),BMO...
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar i...
AbstractThe paper deals with the problem of ideals of H∞: describe increasing functions φ⩾0 such tha...
AbstractWe present an effective algorithm for estimating the norm of an operator mapping a low-dimen...
AbstractWe derive integral representations for the renewal density u associated with a square integr...
$T$ is a Ritt operator in $L^p$ if $\sup_n n\|T^n-T^{n+1}\|<\infty$. From \cite{LeMX-Vq}, if $T$ is ...
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