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

Vakhtang Kokilashvili, and Alexander Meskhi. "One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces." Banach Center Publications 102.1 (2014): 131-142. <http://eudml.org/doc/282296>.

@article{VakhtangKokilashvili2014,
abstract = {We investigate weak type estimates for maximal functions, fractional and singular integrals in grand Lebesgue spaces. In particular, we show that for the one-weight weak type inequality it is necessary and sufficient that a weight function belongs to the appropriate Muckenhoupt class. The same problem is discussed for strong maximal functions, potentials and singular integrals with product kernels.},
author = {Vakhtang Kokilashvili, Alexander Meskhi},
journal = {Banach Center Publications},
keywords = {singular integrals; fractional integrals; maximal functions; weak type estimates; grand Lebesgue spaces},
language = {eng},
number = {1},
pages = {131-142},
title = {One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces},
url = {http://eudml.org/doc/282296},
volume = {102},
year = {2014},
}

TY - JOUR
AU - Vakhtang Kokilashvili
AU - Alexander Meskhi
TI - One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces
JO - Banach Center Publications
PY - 2014
VL - 102
IS - 1
SP - 131
EP - 142
AB - We investigate weak type estimates for maximal functions, fractional and singular integrals in grand Lebesgue spaces. In particular, we show that for the one-weight weak type inequality it is necessary and sufficient that a weight function belongs to the appropriate Muckenhoupt class. The same problem is discussed for strong maximal functions, potentials and singular integrals with product kernels.
LA - eng
KW - singular integrals; fractional integrals; maximal functions; weak type estimates; grand Lebesgue spaces
UR - http://eudml.org/doc/282296
ER -