Weighted Inequalities for the Dyadic Square Function

被引：1
|
作者：
Osckowski, Adam [1 ]
机构：
[1] Univ Warsaw, Dept Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2016年 / 85卷 / 03期
关键词：
Maximal function; Square function; Weight; Martingale; NORM INEQUALITIES; MUCKENHOUPT; INTEGRALS;
D O I：
10.1007/s00020-016-2286-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Fefferman-Stein inequalities for the dyadic square function associated with an integrable, Hilbert-space-valued function on the interval [0, 1). The proof rests on a Bellman function method: the estimates are deduced from the existence of certain special functions enjoying appropriate majorization and concavity.
引用
收藏
页码：359 / 380
页数：22
相关论文
共 50 条
  • [31] RIESZ TRANSFORMS AND LITTLEWOOD-PALEY SQUARE FUNCTION ASSOCIATED TO SCHRODINGER OPERATORS ON NEW WEIGHTED SPACES
    Nguyen Ngoc Trong
    Le Xuan Truong
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 105 (02) : 201 - 228
  • [32] Sharp inequalities for dyadic A1 weights
    Adam Osȩkowski
    Archiv der Mathematik, 2013, 101 : 181 - 190
  • [33] WEIGHTED MIXED NORM INEQUALITIES IN MARTINGALE SPACES
    Chen, Wei
    Liu, Peide
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (01): : 61 - 71
  • [34] On weighted weak type maximal inequalities for martingales
    Kikuchi, M
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (01): : 163 - 175
  • [35] Weighted variation inequalities for singular integrals and commutators
    Wen, Yongming
    Wu, Huoxiong
    Zhang, Jing
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 485 (02)
  • [36] Sharp inequalities for sums of nonnegative random variables and for a martingale conditional square function
    Osekowski, Adam
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2010, 7 : 243 - 256
  • [37] Two-weight dyadic Hardy inequalities
    Arcozzi, Nicola
    Chalmoukis, Nikolaos
    Levi, Matteo
    Mozolyako, Pavel
    RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2023, 34 (03) : 657 - 714
  • [38] Dyadic weights on Rn and reverse Holder inequalities
    Nikolidakis, Eleftherios N.
    Melas, Antonios D.
    STUDIA MATHEMATICA, 2016, 234 (03) : 281 - 290
  • [39] A Unified Version of Weighted Weak Type Inequalities for One-Sided Maximal Function on R2
    Zhang, Erxin
    Ren, Yanbo
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (04)
  • [40] On the failure of lower square function estimates in the non-homogeneous weighted setting
    Domelevo, K.
    Ivanisvili, P.
    Petermichl, S.
    Treil, S.
    Volberg, A.
    MATHEMATISCHE ANNALEN, 2019, 374 (3-4) : 1923 - 1952
12345