When n = 2, T is a Fourier multiplier, and it is well known that such operators are bounded on L, 1 < p < âˆž, if m is a symbol of order 0. Coifman and Meyer [2]â€“[7], Kenig and Stein [14], and Grafakosâ€¦ (More)

In this paper we prove L estimates for a tri-linear operator, whose symbol is given by the product of two standard symbols, satisfying the well known MarcinkiewiczHÃ¶rmander-Mihlin condition. Our mainâ€¦ (More)

We prove L p estimates (Theorem 1.2) for the " biest " , a trilinear multiplier operator with singular symbol. The methods used are based on the treatment of the Walsh analogue of the biest in theâ€¦ (More)

We prove L p estimates (Theorem 1.8) for the Walsh model of the " biest " , a trilinear multiplier with singular symbol. The corresponding estimates for the Fourier model will be obtained in theâ€¦ (More)

We prove L p estimates (Theorem 1.3) for the Bi-Carleson operator defined below. The methods used are essentially based on the treatment of the Walsh analogue of the operator in the prequel [11] ofâ€¦ (More)

New polymeric composite membranes polysulfone-polypyrrole has been prepared by a new technique consisting in phase inversion accompanied by chemical reaction. The membranes were synthesised fromâ€¦ (More)

We describe the theory of flag paraproducts and their relati onship to the field of differential equations. 1. Short Introduction The main goal of the present paper is to describe the theory of a newâ€¦ (More)

In this article, we prove L estimates for a general maximal operator, which extend both the classical Coifman-Meyer [2] and Carleson-Hunt [1], [7] theorems in harmonic analysis.

We prove that for any L-valued Schwartz function f defined on R, one has the multiple vector-valued, mixed norm estimate â€–fâ€–LP (LQ) . â€–Sfâ€–LP (LQ) valid for every d-tuple P and every n-tuple Qâ€¦ (More)