Deniz Karlı - Academia.edu (original) (raw)
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Papers by Deniz Karlı
Hacettepe Journal of Mathematics and Statistics, 2016
In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis usin... more In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis using probabilistic approach by means of a ddimensional 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 (R d)-norm of a new operator.
Hacettepe Journal of Mathematics and Statistics, 2016
In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis usin... more In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis using probabilistic approach by means of a ddimensional 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 (R d)-norm of a new operator.