Add to ORKG"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hideo Kubo and Mitsuru Sugimoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.This article is organized in the following way. In Section 1 we state a brief history of multilinear operators, in particular the bilinear Hilbert transform and bilinear fractional integral operator. In Section 2 we summarize our recent results in [6]
In the field F of convolution quotients, b∝ is the operator of integration of fractional order ∝ an...
AbstractIn a recent paper (Studia Math. 138 (2000) 285–291) we proved pointwise estimates relating s...
Motivated by the work of Mateu, Orobitg, Pérez and Verdera, who proved inequalities of the form T _*...
"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hi...
In this paper we establish the following estimate \[ w\left(\left\{ x\in\mathbb{R}^{n}\,:\,\left|...
AbstractLet Lu be the integral operator defined by (Lkϑ)(x, y) = ∝ s ∝ ϑ(x′, y′)(eikϱϱ) dx′ dy′, (x,...
AbstractIn this paper, we prove a Hörmander type multiplier theorem for multilinear operators. As a ...
AbstractWe prove a formula of Mehler-Heine type for a family of orthogonal polynomials in two variab...
We present a survey of mixed norm inequalities for several directional operators, namely, directiona...
summary:Let $L:=-\Delta +V$ be a Schrödinger operator on $\mathbb {R}^n$ with $n\ge 3$ and $V\ge 0$ ...
Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study ...
AbstractMultilinear commutators and iterated commutators generated by the multilinear singular integ...
For any $0<\alpha<n$, the homogeneous fractional integral operator $T_{\Omega,\alpha}$ is defined by...
We develop a wide general theory of bilinear bi-parameter singular integrals $T$. This includes gene...
AbstractWe prove the following inequality with a sharp constant,‖P+f‖L p(T)⩽csc πp ‖f‖Lp(T),f∈Lp(T),...
In the field F of convolution quotients, b∝ is the operator of integration of fractional order ∝ an...
AbstractIn a recent paper (Studia Math. 138 (2000) 285–291) we proved pointwise estimates relating s...
Motivated by the work of Mateu, Orobitg, Pérez and Verdera, who proved inequalities of the form T _*...
"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hi...
In this paper we establish the following estimate \[ w\left(\left\{ x\in\mathbb{R}^{n}\,:\,\left|...
AbstractLet Lu be the integral operator defined by (Lkϑ)(x, y) = ∝ s ∝ ϑ(x′, y′)(eikϱϱ) dx′ dy′, (x,...
AbstractIn this paper, we prove a Hörmander type multiplier theorem for multilinear operators. As a ...
AbstractWe prove a formula of Mehler-Heine type for a family of orthogonal polynomials in two variab...
We present a survey of mixed norm inequalities for several directional operators, namely, directiona...
summary:Let $L:=-\Delta +V$ be a Schrödinger operator on $\mathbb {R}^n$ with $n\ge 3$ and $V\ge 0$ ...
Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study ...
AbstractMultilinear commutators and iterated commutators generated by the multilinear singular integ...
For any $0<\alpha<n$, the homogeneous fractional integral operator $T_{\Omega,\alpha}$ is defined by...
We develop a wide general theory of bilinear bi-parameter singular integrals $T$. This includes gene...
AbstractWe prove the following inequality with a sharp constant,‖P+f‖L p(T)⩽csc πp ‖f‖Lp(T),f∈Lp(T),...
In the field F of convolution quotients, b∝ is the operator of integration of fractional order ∝ an...
AbstractIn a recent paper (Studia Math. 138 (2000) 285–291) we proved pointwise estimates relating s...
Motivated by the work of Mateu, Orobitg, Pérez and Verdera, who proved inequalities of the form T _*...