POINTWISE MULTIPLIERS FOR REVERSE HÖLDER SPACES II By

Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces

We provide non-smooth atomic decompositions for Besov spaces Bsp,q(R n), s > 0, 0 < p, q ≤ ∞, defined via differences. The results are used to compute the trace of Besov spaces on the boundary Γ of bounded Lipschitz domains Ω with smoothness s restricted to 0 < s < 1 and no further restrictions on the parameters p, q. We conclude with some more applications in terms of pointwise multipliers. Ma...

Regular Lagrange Multipliers for Control Problems with Mixed Pointwise Control-State Constraints

A class of quadratic optimization problems in Hilbert spaces is considered, where pointwise box constraints and constraints of bottleneck type are given. The main focus is to prove the existence of regular Lagrange multipliers in L-spaces. This question is solved by investigating the solvability of a Lagrange dual quadratic problem. The theory is applied to different optimal control problems fo...

Pointwise Multipliers of Besov Spaces of Smoothness Zero and Spaces of Continuous Functions

On pointwise multipliers for F sp , q ( R n ) in case σ p , q < s < n / p

We give a new description of the set M(F s p,q ) of all pointwise multipliers of the TriebelLizorkin spaces F s p,q in those cases, where they consist of, possibly unbounded, functions. 1991 Mathematics Subject Classification: 46E35.

Regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition∗

The purpose of this paper is to obtain the global regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition.