Restricted weak type versus weak type

被引：4

作者：

Grafakos, L ^{[1
]}

Mastylo, M

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[3] Polish Acad Sci, Math Inst, Poznan Branch, PL-61614 Poznan, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 04期

关键词：

multilinear interpolation; restricted weak type estimates;

D O I：

10.1090/S0002-9939-04-07791-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that translation invariant multilinear operators of restricted weak type (1,1,...,1, q) must necessarily be of weak type (1,1,...,1, q). We give applications.

引用

页码：1075 / 1081

页数：7

共 50 条

[21] WEAK-TYPE MULTIPLIERS
KNOPF, PM
STUDIA MATHEMATICA, 1980, 67 (01) : 73 - 84
[22] Extensions of weak type multipliers
Mohanty, P
Madan, S
STUDIA MATHEMATICA, 2003, 158 (01) : 1 - 10
[23] MAXIMAL INEQUALITIES OF WEAK TYPE
SAWYER, S
ANNALS OF MATHEMATICS, 1966, 84 (01) : 157 - &
[24] Interpolation of operators of weak type (φ, φ)
Peleshenko, B. I.
SIBERIAN MATHEMATICAL JOURNAL, 2008, 49 (02) : 322 - 338
[25] INTERPOLATION OF WEAK TYPE SPACES
JAWERTH, B
MILMAN, M
MATHEMATISCHE ZEITSCHRIFT, 1989, 201 (04) : 509 - 519
[26] CONVOLUTION OPERATORS OF WEAK TYPE
FOURNIER, JJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A167 - A167
[27] TRANSFERENCE OF WEAK TYPE MULTIPLIERS
ASMAR, N
BERKSON, E
GILLESPIE, TA
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 311 (03): : 173 - 176
[28] WEAK BUILDINGS OF SPHERICAL TYPE
REES, S
GEOMETRIAE DEDICATA, 1988, 27 (01) : 15 - 47
[29] MULTIPLIER TRANSFORMATIONS OF WEAK TYPE
ZAFRAN, M
ANNALS OF MATHEMATICS, 1975, 101 (01) : 34 - 44
[30] Restricted weak-type endpoint estimates for k-spherical maximal functions
Hughes, Kevin
MATHEMATISCHE ZEITSCHRIFT, 2017, 286 (3-4) : 1303 - 1321

← 1 2 3 4 5 →