@article{Li2024, 
author = {Dan Li and Fangyuan Chen},
title = {On pointwise convergence of sequential Boussinesq operator},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22301-22320},
keywords = {Boussinesq operator, pointwise convergence, Sobolev space, Lorentz space},
url = {https://www.sciopen.com/article/10.3934/math.20241086},
doi = {10.3934/math.20241086},
abstract = {We study the almost everywhere pointwise convergence of the Boussinesq operator along sequences  {tn}n=1∞ with  limn→∞tn=0 in one dimension. We obtain a characterization of convergence almost everywhere when  {tn}∈lr,∞(N) for all  f∈Hs(R) provided  0<s<12.}
}