Classes of weights related to Schrödinger operators

B. BONGIOANNI, E. HARBOURE AND O. SALINAS

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ACADEMIC PRESS INC ELSEVIER SCIENCE

Año: 2011 vol. 373 p. 563 - 579

0022-247X

p, li { white-space: pre-wrap; } In this work we obtain boundedness on weighted Lebesgue spaces on $RR^d$ of the semi-group maximal function, Riesz transforms, fractional integrals and $g$-function associated to the Schr"odinger operator $-Delta+V$, where $V$ satisfies a reverse H"older inequality with exponent greater than $d/2$. We consider new classes of weights that locally behave as Muckenhoupt´s weights and actually include them. The notion of locality is defined by means of the critical radius function of the potential $V$ given in cite{shen}.