scholarly journals Some norm inequalities for upper sector matrices

Filomat ◽  
2021 ◽  
Vol 35 (5) ◽  
pp. 1735-1743
Author(s):  
Dengpeng Zhang ◽  
Ning Zhang
Keyword(s):  
Norm Inequality ◽  
Norm Inequalities

We generalize some norm inequalities for 2 x 2 block accretive-dissipative matrices and positive semi-definite matrices that compare the diagonal blocks with the off-diagonal blocks. Moreover, we partially extend a norm inequality of n x n block accretive-dissipative matrices.

New Proofs of Two-Weight Norm Inequalities for the Maximal Operator

2000 ◽  
Vol 7 (1) ◽  
pp. 33-42 ◽  
Author(s):  
D. Cruz-Uribe
Keyword(s):  
Maximal Operator ◽  
Sufficient Conditions ◽  
Norm Inequality ◽  
Strong Type ◽  
Norm Inequalities ◽  
Fractional Maximal Operator ◽  
Littlewood Maximal Operator

Abstract We give a new and simpler proof of Sawyer's theorem characterizing the weights governing the two-weight, strong-type norm inequality for the Hardy-Littlewood maximal operator and the fractional maximal operator. As a further application of our techniques, we give new proofs of two sufficient conditions for such weights due to Wheeden and Sawyer.

scholarly journals Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Caiyin Niu ◽  
Zongguang Liu ◽  
Panwang Wang
Keyword(s):  
Liouville Operator ◽  
Norm Inequality ◽  
Maximal Operators ◽  
Weight Norm Inequality ◽  
Weyl Operator ◽  
Lebesgue Spaces ◽  
Norm Inequalities ◽  
Variable Lebesgue Spaces ◽  
The One

The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl operator in variable Lebesgue spaces on bounded intervals.

scholarly journals Weighted norm inequalities for a general maximal operator

1988 ◽  
Vol 26 (1-2) ◽  
pp. 327-340 ◽  
Author(s):  
Francisco J. Ruiz ◽  
Jose L. Torrea
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

scholarly journals Norm inequalities involving a special class of functions for sector matrices

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Davood Afraz ◽  
Rahmatollah Lashkaripour ◽  
Mojtaba Bakherad
Keyword(s):  
Special Class ◽  
Norm Inequalities ◽  
Class Of Functions

scholarly journals Two-weight norm inequalities for fractional integral operators with $A_{\lambda,\infty}$ weights

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Junren Pan ◽  
Wenchang Sun
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Type Estimate ◽  
Norm Inequalities ◽  
Fractional Integral Operators ◽  
New Class ◽  
Formula Type

Abstract In this paper, we introduce a new class of weights, the $A_{\lambda, \infty}$Aλ,∞ weights, which contains the classical $A_{\infty}$A∞ weights. We prove a mixed $A_{p,q}$Ap,q–$A_{\lambda,\infty}$Aλ,∞ type estimate for fractional integral operators.

scholarly journals General Norm Inequalities of Trapezoid Type for Fréchet Differentiable Functions in Banach Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1288
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Norm Inequalities ◽  
Differentiable Functions ◽  
Fréchet Differentiable ◽  
General Norm

In this paper we establish some error bounds in approximating the integral by general trapezoid type rules for Fréchet differentiable functions with values in Banach spaces.

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