Extrapolation on Lp,infinity (mu) Articles uri icon

authors

  • TRADACETE PEREZ, PEDRO

publication date

  • November 2013

start page

  • 1840

end page

  • 1869

issue

  • 9

volume

  • 265

International Standard Serial Number (ISSN)

  • 0022-1236

Electronic International Standard Serial Number (EISSN)

  • 1096-0783

abstract

  • We solve the extrapolation problem concerning bounded operators on L-p,L-infinity(mu); that is, we give end-point estimates for sublinear operators T such that T : L-p,L-infinity(mu) --> L-p,L-infinity(nu) is bounded with constant less than or equal to 1/(p - 1)(m). Applications to the Hardy-Littlewood maximal operator, the Hilbert transform and composition of operators are also given.

keywords

  • extrapolation theory; weak l-p-spaces; hardy-littlewood maximal operator; muckenhoupt weights