scholarly journals Applications of commutator theory to weighted BMO and matrix analogs of $A_{2}$

1989 ◽  
Vol 33 (3) ◽  
pp. 464-487 ◽  
Author(s):  
Steven Bloom
Keyword(s):  
Weighted Bmo ◽  
Commutator Theory

scholarly journals Weighted BMO and Hankel operators between Bergman spaces

2016 ◽  
Vol 65 (5) ◽  
pp. 1639-1673 ◽  
Author(s):  
Jordi Pau ◽  
Ruhan Zhao ◽  
Kehe Zhu
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Weighted Bmo

Arithmetical categories and commutator theory

1996 ◽  
Vol 4 (2-3) ◽  
pp. 297-305 ◽  
Author(s):  
M. C. Pedicchio
Keyword(s):  
Commutator Theory

Categorical Commutator Theory

2021 ◽  
pp. 147-172
Author(s):  
Sandra Mantovani ◽  
Andrea Montoli
Keyword(s):  
Commutator Theory

scholarly journals A Categorical Approach to Commutator Theory

1995 ◽  
Vol 177 (3) ◽  
pp. 647-657 ◽  
Author(s):  
M.C. Pedicchio
Keyword(s):  
Categorical Approach ◽  
Commutator Theory

scholarly journals Toeplitz Type Operators Associated with Generalized Calderón-Zygmund Operator on Weighted Morrey Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Bijun Ren ◽  
Enbin Zhang
Keyword(s):  
Morrey Space ◽  
Morrey Spaces ◽  
Linear Operators ◽  
Identity Operator ◽  
Zygmund Operator ◽  
Weighted Bmo ◽  
Weighted Morrey Space ◽  
Weighted Morrey Spaces ◽  
Bmo Spaces ◽  
Toeplitz Type Operator

LetT1be a generalized Calderón-Zygmund operator or±I(the identity operator), letT2andT4be the linear operators, and letT3=±I. Denote the Toeplitz type operator byTb=T1MbIαT2+T3IαMbT4, whereMbf=bfandIαis the fractional integral operator. In this paper, we investigate the boundedness of the operatorTbon weighted Morrey space whenbbelongs to the weighted BMO spaces.

Weighted inequalities for some integral operators with rough kernels

2014 ◽  
Vol 12 (4) ◽  
Author(s):  
María Riveros ◽  
Marta Urciuolo
Keyword(s):  
Weak Type ◽  
Integral Operators ◽  
Degree Zero ◽  
Weighted Inequalities ◽  
Rough Kernels ◽  
Type Estimate ◽  
Dini Condition ◽  
Weighted Bmo ◽  
Weak Type Estimates ◽  
Invertible Matrices

AbstractIn this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right. \kern-\nulldelimiterspace} {\left| x \right|}}^{{n \mathord{\left/ {\vphantom {n {q_i }}} \right. \kern-\nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators.

scholarly journals Pointwise multipliers on weighted BMO spaces

1997 ◽  
Vol 125 (1) ◽  
pp. 35-56 ◽  
Author(s):  
Eiichi Nakai
Keyword(s):  
Weighted Bmo ◽  
Pointwise Multipliers ◽  
Bmo Spaces
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