Inequality for Burkholder’s martingale transform

A Note on the Martingale Inequality

In this paper, we will establish a martingale inequality, which extends the classic Hoeffding inequality in some sense. In addition, our inequality improves the results of Lee and Su [7] (2002) in some cases.

Heisenberg Uncertainty Inequality for Gabor Transform

We discuss the Heisenberg uncertainty inequality for groups of the form K Rn , K is a separable unimodular locally compact group of type I. This inequality is also proved for Gabor transform for several classes of groups of the form K Rn . Mathematics subject classification (2010): Primary 43A32; Secondary 43A30, 22D10, 22D30, 22E25.

An inequality for the hilbert transform.

Weak Type Estimates Associated to Burkholder’s Martingale Inequality

Motivated by quantum probability, Junge and Xu recently extended this result to the range 1 < p < 2. In this paper we study Burkholder’s inequality for p = 1, for which the techniques (as we shall explain) must be different. Quite surprisingly, we obtain two non-equivalent estimates which play the role of the weak type (1, 1) analog of Burkholder’s inequality. As application, we obtain new prop...

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.