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Ordinary differential operators under Stieltjes boundary conditions

Ordinary differential operators under Stieltjes boundary conditions

The operator Lry = / + Py, whose domain is determined in part by the Stieltjes integral boundary condition Jo dv{i)y{f) = 0, is studied in Xj¡($>, 1), 1 < p < oo.It is shown that Lp has a dense domain; hence there exists a dual operator L* operating on …