Weighted Weak Type (1,1) Bounds for Rough Operators (Englisch)

In: Journal of the London Mathematical Society   ;  54 ,  2  ;  297-310  ;  2016

Wie erhalte ich diesen Titel?

Download
Kommerziell Vergütung an den Verlag: 36,28 € Grundgebühr: 4,00 € Gesamtpreis: 40,28 €
Akademisch Vergütung an den Verlag: 36,28 € Grundgebühr: 2,00 € Gesamtpreis: 38,28 €

In this work, we study three, by now classical, operators from the point of view of their weak type (1,1) behaviour with respect to weights. The first one is the Bochner‐Riesz multiplier operator of index 1 2 (n − 1). We show that it is of weak type (1,1) with respect to any weight in the A1‐Muckenhoupt class.

The other two are the maximal operator and the homogeneous singular integral (the former in any dimension and the latter in dimension 2) with rough kernel. We prove that they are of weak‐type (1,1) with respect to weights ( ω , [ ~ ( ω β ) ] 1 / β ) for β > 1, where ~ is a composition of the Hardy‐Littlewood maximal operator and the maximal operator with rough kernel.

Inhaltsverzeichnis – Band 54, Ausgabe 2

Zeige alle Jahrgänge und Ausgaben

Die Inhaltsverzeichnisse werden automatisch erzeugt und basieren auf den im Index des TIB-Portals verfügbaren Einzelnachweisen der enthaltenen Beiträge. Die Anzeige der Inhaltsverzeichnisse kann daher unvollständig oder lückenhaft sein.

209
Addendum to ‘Embedding GCD Domains in Bezout Domains’
Shamash, Josephine / Smith, Stuart T. | 2016
210
Splitting of Finite Covers of ℵ0‐Categorical Structures
Evans, David M. | 2016
210
Splitting of finite covers of Xo=categorical stuctures
Evans, David M. | 1996
227
Determination of all quartenion octic CM-fields with class number 2
Louboutin, Stéphane | 1996
227
Determination of all Quaternion Octic CM‐Fields with Class Number 2
Louboutin, Stéphane | 2016
239
The Minimum Modulus of Subharmonic Functions of Order one and A Method of Fryntov
Drasin, David | 2016
239
The minimum modulus of subharmonic functions of order one eand a method of fryntov
Drasin, David | 1996
251
On an Oscillation Criterion for a Second Order Linear Quasi‐Differential Equation
O'Hara, J. G. | 2016
251
On an oscillation crierion for a second order linear quasi-differential equation
O'Hara, J.G. | 1996
261
Subgroups of Word Hyperbolic Groups in Dimension 2
Gersten, S. M. | 2016
284
Regularity Theorems and Heat Kernel for Elliptic Operators
Auscher, Pascal | 2016
297
Weighted Weak Type (1,1) Bounds for Rough Operators
Vargas, Ana M. | 2016
311
Estimates for Commutators of Orthogonal Fourier Series
Guadalupe, José J. / Pérez, Mario / Ruiz, Francisco J. | 2016
323
A Simple Criterion for Involutivity
Mansfield, Elizabeth L. | 2016
346
Homomorphisms form B(C(wh))
Ogden, Catherine P. | 1996
346
Homomorphisms from ℬ (ℬ(ωη))
Ogden, Catherine P. | 2016
359
Spectrum‐Finite Ideals of Jordan‐Banach Algebras
Wilkins, T. J. D. | 2016
369
Continuity of Homomorphisms from Af‐C*‐Algebras and other Inductive Limit C*‐Algebras
Ermert, Olaf | 2016
369
Continuity of homomorphisms form AF-C*-algebras and other inductive limit C*-algebras
Ermert, Olaf | 1996
387
Elliptic Genera for Z/k‐Manifolds I
Devoto, Jorge A. | 2016
403
Bundle Gerbes
Murray, M. K. | 2016
Tables of Contents
| 1996
Front Matter
| 1996