[1] |
Betancor J J, Crescimbeni R, Torrea J L. The ρ-variation of the heat semigroup in the Hermitian setting:behaviour in L∞. Proc Edinburgh Math Soc (Series 2), 2011, 54:569-585
|
[2] |
Crescimbeni R, Macías R A. Menárguez T, Torrea J L, Viviani B. The ρ-variation as an operator between maximal operators and singular integrals. J Evolution Equations, 2009, 9(1):81-102
|
[3] |
Campbell J T, Jones R L, Reinhold K, Wierdl M. Oscillation and variation for singular integrals in higher dimensions. Trans Amer Math Soc, 2003, 355:2115-2137
|
[4] |
Calderón A P, Zygmund A. On the existence of certain singular integrals. Acta Math, 1952, 88:85-139
|
[5] |
Harboure E, Macías R A, Menárguez M T, Torrea J L. Oscillation and variation for the Gaussian Riesz transforms and Poisson integral. Proc Royal Soc Edinburgh, 2005, 135A:85-104
|
[6] |
Jones R L, Kaufman R, Rosenblatt J M, Wierdl M. Oscillation in ergodic theory. Ergod Theory Dynam Sys, 1998, 18:889-935
|
[7] |
Jones R L, Reinhold K. Oscillation and variation inequalities for convolution powers. Ergod Theory Dynam Sys, 2001, 21:18091829
|
[8] |
Jones R L, Rosenblatt J M, Wierdl M. Oscillation in ergodic theory:higher dimensional results. Isreal J Math, 2003, 135:1-27
|
[9] |
Li P, Torrea J L. The oscilation of the Poisson semigroup associated with parabolic Laplican operator. Submitted
|
[10] |
Li P, Stinga P R, Torrea J L. On weighted mixed-norm Sobolev estimates for some basic parabolic equations. Commun Pure Appl Anal, 2017, 16(3):855-882
|
[11] |
Ma T, Torrea J L, Xu Q. Weighted variation inequalities for differential operators and singular integrals. J Funct Anal, 2013, 265:545-561
|
[12] |
de Francia R J L, Ruiz F J, Torrea J L. Calderón-Zygmund theory for operator-valued kernels. Adv Math, 1986, 62:7-48
|
[13] |
Ruiz F J, Torrea J L. Vector-valued Calderón-Zygmund theory and Carleson measures on spaces of homogeneous nature. Studia Math, 1988, 88:221-243
|
[14] |
Stein E M. Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. Annals of Mathematics Studies, 63. Princeton, NJ:Princeton Univ Press, 1970
|
[15] |
Stinga P R, Torrea J L. Regularity theory and extension problem for fractional nonlocal parabolic equations and the master equation. SIAM J Math Anal, 2017, 49(5):3893-3924
|
[16] |
Thangavelu S. Lectures on Hermite and Laguerre Expansions. Mathematical Notes 42. Princeton, NJ:Princeton University Press, 1993
|
[17] |
Wang S. Some properties of Littlewood-Paley g-function. Sci Sinica A, 1985, 28(3):252262
|