In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Brønsted-Rockafellar type property. 2000 Mathematics Subject Classification: 47H05, 49J52, 47N10.

We study the mass dependence of various quantities (like the average and maximum density, collision rate, participant-spectator matter, temperature as well as time zones for higher density) by simulating the reactions at the energy of vanishing flow. This study is carried out within the framework of Quantum Molecular Dynamics model. Our findings clearly indicate an existence of a power law in a...

Abstract. Let (X, d, μ) be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called nonhomogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with RBMO(μ) function on non-homogeneous metric measure spaces in m-multiple Lebesgue spa...

Let X be a real reflexive Banach space with dual X∗ and G ⊂ X open and bounded and such that 0 ∈ G. Let T : X ⊃ D(T ) → 2X be maximal monotone with 0 ∈ D(T ) and 0 ∈ T (0), and C : X ⊃ D(C) → X∗ with 0 ∈ D(C) and C(0) = 0. A general and more unified eigenvalue theory is developed for the pair of operators (T,C). Further conditions are given for the existence of a pair (λ, x) ∈ (0,∞)× (D(T + C) ...

By first describing the fixed maximal ideals of RL and those of its bounded part, R∗L, we show that every fixed maximal ideal of the bigger ring contracts to a fixed maximal ideal of the smaller ring, and every fixed maximal ideal of the smaller ring extends to a fixed maximal ideal of the bigger ring. However, the only instance where every maximal ideal of R∗L extends to a maximal ideal of RL ...

This paper is devoted to study the symmetries of the energymomentum tensor for the static spacetimes with maximal symmetric transverse spaces. We solve matter collineation equations for the four main cases by taking one, two, three and four non-zero components of the vector ξ. For one component non-zero, we obtain only one matter collineation for the non-degenerate case and for two components n...

We prove a weighted norm inequality for the maximal Bochner-Riesz operator and the associated square-function. This yields new L(R) bounds on classes of radial Fourier multipliers for p ≥ 2 + 4/d with d ≥ 2, as well as space-time regularity results for the wave and Schrödinger equations.

Mining of frequent traversal paths in web logs is an application of sequence mining and useful with many applications that include web recommendation, caching, pre-fetching etc. Most of the existing algorithms follow a bottom-up approach to mine sequence patterns in a database. In this paper, a fast top-down algorithm is presented to discover maximal traversal paths which are contiguous sequenc...

We show that the Hardy-Littlewood maximal operator and a class of Calderón-Zygmund singular integrals satisfy the strong type modular inequality in variable L spaces if and only if the variable exponent p(x) ∼ const.

We present a framework that yields a variety of weighted and vector-valued estimates for maximally modulated Calderón-Zygmund singular (and maximal singular) integrals from a single a priori weak type unweighted estimate for the maximal modulations of such operators. We discuss two approaches, one based on the good-λ method of Coifman and Fefferman [CF] and an alternative method employing the s...