Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Benyi, Arpad"'
We prove a compact $T(1)$ theorem, involving quantitative estimates, analogous to the quantitative classical $T(1)$ theorem due to Stein. We also discuss the $C_c^\infty$-to-$CMO$ mapping properties of non-compact Calder\'on-Zygmund operators.
C
C
Externí odkaz:
http://arxiv.org/abs/2405.08416
We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compact bilinear operators on Banach spaces and present examples. We then p
Externí odkaz:
http://arxiv.org/abs/2405.08412
We discuss the fractional Leibniz rule for periodic functions on the $d$-dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.
Comment: 14 pages. Prop
Comment: 14 pages. Prop
Externí odkaz:
http://arxiv.org/abs/2311.07998
Autor:
Bényi, Árpád, Oh, Tadahiro
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols in the H\"ormander classes $BS^{\omega}_{1, 0}$. In particular, we inve
Externí odkaz:
http://arxiv.org/abs/2206.00824
Autor:
Bényi, Árpád, Oh, Tadahiro
We indicate how to construct a family of modulation function spaces that have a scaling symmetry. We also illustrate the behavior of the Schr\"odinger multiplier on such function spaces.
Comment: 12 pages. To appear in Appl. Comput. Harmon. Anal
Comment: 12 pages. To appear in Appl. Comput. Harmon. Anal
Externí odkaz:
http://arxiv.org/abs/1806.08587
In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.
Comment: 26 pages. To appear in Landscapes of Time-Frequency Analysis, Appl. Nu
Comment: 26 pages. To appear in Landscapes of Time-Frequency Analysis, Appl. Nu
Externí odkaz:
http://arxiv.org/abs/1805.08411
Motivated by the study of kernels of bilinear pseudodifferential operators with symbols in a H\"ormander class of critical order, we investigate boundedness properties of strongly singular Calder\'on--Zygmund operators in the bilinear setting. For su
Externí odkaz:
http://arxiv.org/abs/1804.09710
Publikováno v:
This is a pre-print of an article published in Math. Ann. 376 (2020), no. 1-2, 61-102
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick,
Externí odkaz:
http://arxiv.org/abs/1710.08515
We consider the cubic nonlinear Schr\"odinger equation (NLS) on $\mathbb{R}^3$ with randomized initial data. In particular, we study an iterative approach based on a partial power series expansion in terms of the random initial data. By performing a
Externí odkaz:
http://arxiv.org/abs/1709.01910
Autor:
Bényi, Árpád, Oh, Tadahiro
In this work, we state and prove versions of the linear and bilinear $T(b)$ theorems involving quantitative estimates, analogous to the quantitative linear $T(1)$ theorem due to Stein.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1502.02260