scholarly journals Weighted norm inequalities on spaces of homogeneous type

1992 ◽  
Vol 101 (3) ◽  
pp. 241-251 ◽  
Author(s):  
Qiyu Sun
Keyword(s):  
Weighted Norm ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

A unified method for maximal truncated Calderón–Zygmund operators in general function spaces by sparse domination

2019 ◽  
Vol 63 (1) ◽  
pp. 229-247
Author(s):  
Theresa C. Anderson ◽  
Bingyang Hu
Keyword(s):  
General Setting ◽  
Function Spaces ◽  
Weighted Norm ◽  
General Function ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type ◽  
Weighted Norm Inequalities ◽  
Banach Function Spaces ◽  
Norm Inequalities ◽  
Unified Method

AbstractIn this note we give simple proofs of several results involving maximal truncated Calderón–Zygmund operators in the general setting of rearrangement-invariant quasi-Banach function spaces by sparse domination. Our techniques allow us to track the dependence of the constants in weighted norm inequalities; additionally, our results hold in ℝn as well as in many spaces of homogeneous type.

Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams

2010 ◽  
Vol 53 (2) ◽  
pp. 263-277 ◽  
Author(s):  
Justin Feuto ◽  
Ibrahim Fofana ◽  
Konin Koua
Keyword(s):  
Maximal Operator ◽  
Fractional Integral ◽  
Space Of Homogeneous Type ◽  
Weighted Norm ◽  
Fractional Operator ◽  
Homogeneous Type ◽  
Weighted Norm Inequalities ◽  
Orlicz Norm ◽  
Lebesgue Spaces ◽  
Norm Inequalities

AbstractWe give weighted norm inequalities for the maximal fractional operator ℳq,β of Hardy– Littlewood and the fractional integral Iγ. These inequalities are established between (Lq, Lp)α(X, d, μ) spaces (which are superspaces of Lebesgue spaces Lα(X, d, μ) and subspaces of amalgams (Lq, Lp)(X, d, μ)) and in the setting of space of homogeneous type (X, d, μ). The conditions on the weights are stated in terms of Orlicz norm.

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
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