In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis using probabilistic approach by means of a $d$-
dimensional rotationally symmetric stable process. These results allow one to discuss some boundedness conditions with weaker hypotheses.
In this paper, we study a multiplier theorem using these more general results. We consider a product process consisting of a $d$-dimensional
symmetric stable process and a 1-dimensional Brownian motion, and use properties of jump processes to obtain bounds on jump terms and
the $L^p(\mathbb{R}^d)$-norm of a new operator.
symmetric stable process Fourier multiplier harmonic extension bounded operator
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2017 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 46 Sayı: 2 |