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In this paper we study two approaches for the defi- nition of the first order Orlicz-Sobolev spaces with zero boundary values on arbitrary metric spaces.. We
We then prove embedding theorems: any locally small pre-Hilbert category whose monoidal unit is a simple generator embeds (weakly) monoidally into the category of pre-Hilbert spaces
The following theorem is the indefinite version of the Chaotic Furuta inequality, a result previously stated in the context of Hilbert spaces by Fujii, Furuta and Kamei [5]..
Pick, Weighted inequalities of weak and extra– weak type for the maximal operator and the Hilbert transform.. To appear
We study tractability in the worst case setting of tensor product linear operators defined over weighted tensor product Hilbert spaces.. By one evaluation we mean the computation of
Using the previous results of the author on the existence of elliptic Riemann–Hilbert problems for generalized Cauchy–Riemann systems, we indicate some classes of systems which
Keywords: Stochastic Hamiltonian systems; Dual transformation of Hamiltonian systems; Forward and backward stochastic dierential equations; Matrix-valued Riccati equations;
He has contributed much to modern risk theory, ruin theory, optimization theory, ordering of risks, credibility theory, credibility theory in Hilbert spaces, IBNR methods based