The matrix-weighted dyadic convex body maximal operator is not bounded

L Bounds for a Maximal Dyadic Sum Operator

The authors prove L bounds in the range 1 < p < ∞ for a maximal dyadic sum operator on R. This maximal operator provides a discrete multidimensional model of Carleson’s operator. Its boundedness is obtained by a simple twist of the proof of Carleson’s theorem given by Lacey and Thiele [6] adapted in higher dimensions [8]. In dimension one, the L boundedness of this maximal dyadic sum implies in...

The sum of two maximal monotone operator is of type FPV

In this paper, we studied maximal monotonicity of type FPV for sum of two maximal monotone operators of type FPV and the obtained results improve and complete the corresponding results of this filed.

Orlicz Spaces for Which the Hardy-littlewood Maximal Operator Is Bounded

Maximal Operator and Weighted Norm Inequalities for Multilinear Singular Integrals

The analysis of multilinear singular integrals has much of its origins in several works by Coifman and Meyer in the 70’s; see for example [3]. More recently, in [4] and [5], an updated systematic treatment of multilinear singular integral operators of Calderón-Zygmund type was presented in light of some new developments. See also [6] and the references therein for a detailed description of prev...

On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$

In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.