Applications of some block spaces to singular integrals
Shanzhen Lu
Front. Math. China ›› 2007, Vol. 2 ›› Issue (1) : 61 -72.
Applications of some block spaces to singular integrals
This paper is a survey on the theory and application of some block spaces on the unit sphere introduced by Jiang and the author of this paper in the study of singular integrals and some related operators with rough kernels.
block / block spaces / unit sphere / Calderón-Zygmund singular integrals / oscillatory singular integrals / higher order commutators / rough kernel / Marcinkiewicz integral
| [1] |
|
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
Taibleson M H, Weiss G. Certain function spaces associated with a.e. convergence of Fourier series. In: Univ of Chicago Conf, in honor of Zygmund, Vol I, Woodsworth. 1983, 95–113 |
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
Al-Qassem H, Al-Salman A, Pan Y B. Singular integrals associated to homogeneous mapping with rough kernels. Preprint |
| [14] |
|
| [15] |
|
| [16] |
|
| [17] |
|
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
Al-Salman A. Rough maximal oscillatory singular integral operators. Preprint |
| [22] |
|
| [23] |
|
| [24] |
|
| [25] |
|
| [26] |
|
| [27] |
|
| [28] |
|
| [29] |
|
| [30] |
|
| [31] |
|
| [32] |
|
| [33] |
|
| [34] |
|
| [35] |
|
| [36] |
|
| [37] |
|
| [38] |
Al-Qassem H. Rough Marcinkiewicz integral operators on product spaces. Preprint |
| [39] |
|
| [40] |
|
/
| 〈 |
|
〉 |