One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces

2014 ◽  
Vol 102 ◽  
pp. 131-142 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Lebesgue Spaces ◽  
Grand Lebesgue Spaces ◽  
Weak Type Estimates

scholarly journals On a counterexample related to weighted weak type estimates for singular integrals

2017 ◽  
Vol 145 (7) ◽  
pp. 3005-3012 ◽  
Author(s):  
Marcela Caldarelli ◽  
Andrei K. Lerner ◽  
Sheldy Ombrosi
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Weak Type Estimates

scholarly journals Borderline weak-type estimates for singular integrals and square functions

2015 ◽  
Vol 48 (1) ◽  
pp. 63-73 ◽  
Author(s):  
Carlos Domingo-Salazar ◽  
Michael Lacey ◽  
Guillermo Rey
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Square Functions ◽  
Weak Type Estimates

Multilinear integral operators in weighted grand Lebesgue spaces

2016 ◽  
Vol 19 (3) ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Mieczysław Mastyło ◽  
Alexander Meskhi
Keyword(s):  
Singular Integrals ◽  
Type Theorem ◽  
Type Inequality ◽  
Integral Operators ◽  
Fractional Integrals ◽  
Sobolev Type ◽  
Lebesgue Spaces ◽  
Fractional Integral Operators ◽  
Grand Lebesgue Spaces ◽  
Measure Spaces

AbstractThe boundedness of multi(sub)linear Hardy–Littlewood maximal, Calderón–Zygmund and fractional integral operators defined on metric measure spaces is established in weighted grand Lebesgue spaces. In particular, we derive the one-weight inequality for maximal and singular integrals under the Muckenhoupt type conditions, weighted Sobolev type theorem and trace type inequality for fractional integrals.

Sign in / Sign up

Export Citation Format

Share Document