scholarly journals Local Lower Norm Estimates for Dyadic Maximal Operators and Related Bellman Functions

2016 ◽  
Vol 27 (3) ◽  
pp. 1940-1950 ◽  
Author(s):  
Antonios D. Melas ◽  
Eleftherios N. Nikolidakis
Keyword(s):  
Maximal Operators ◽  
Norm Estimates ◽  
Bellman Functions

Sharp Lorentz-norm estimates for dyadic-like maximal operators

2021 ◽  
Vol 257 (1) ◽  
pp. 87-110
Author(s):  
Adam Osękowski ◽  
Mateusz Rapicki
Keyword(s):  
Maximal Operators ◽  
Norm Estimates ◽  
Lorentz Norm

scholarly journals Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces

2017 ◽  
Vol 239 (1) ◽  
pp. 1-16
Author(s):  
Antonios D. Melas ◽  
Eleftherios N. Nikolidakis ◽  
Dimitrios Cheliotis
Keyword(s):  
Weighted Spaces ◽  
Maximal Operators ◽  
Bellman Functions

scholarly journals Sharp Lorentz Estimates for Dyadic-like Maximal Operators and Related Bellman Functions

2017 ◽  
Vol 27 (4) ◽  
pp. 2644-2657
Author(s):  
Antonios D. Melas ◽  
Eleftherios N. Nikolidakis
Keyword(s):  
Maximal Operators ◽  
Bellman Functions

scholarly journals Estimates for Compositions of Maximal Operators with Singular Integrals

2013 ◽  
Vol 56 (4) ◽  
pp. 801-813 ◽  
Author(s):  
Richard Oberlin
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Operator Norm ◽  
Maximal Operators ◽  
Multiplier Operator ◽  
Norm Estimates ◽  
Variation Norm

Abstract.We prove weak-type (1, 1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator Δ*Ψ where Δ* is Bourgain’s maximal multiplier operator and is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the Lq operator norm when 1 < q < 2. We also consider associated variation-norm estimates.

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