-абсолют и интегрируемые по Риману функции.
O совпадении пространств J(//(Omega)и J(// для плоских областей Omega, имеющих выходы на бесконечность
Obata’s Rigidity Theorem for Metric Measure Spaces
We prove Obata’s rigidity theorem for metric measure spaces that satisfy a Riemannian curvaturedimension condition. Additionally,we show that a lower bound K for the generalizedHessian of a sufficiently regular function u holds if and only if u is K-convex. A corollary is also a rigidity result for higher order eigenvalues.
Obtainment of the norm in Bergman spaces.
Of the structure of the Euler mapping
On a Barrelled Space of Class ... and Measure Theory.
On a canonical two-dimensional space of continuous functions
On a certain class of always convergent sequences and the Rayleigh quotient iterations
On a characterization of -norm
On a class of Banach spaces of analytic functions.
On a class of difference sequences related to the space defined by Orlicz functions
On a Class of Fractional Type Integral Equations in Variable Exponent Spaces
2000 Mathematics Subject Classification: 45A05, 45B05, 45E05,45P05, 46E30We obtain a criterion of Fredholmness and formula for the Fredholm index of a certain class of one-dimensional integral operators M with a weak singularity in the kernel, from the variable exponent Lebesgue space L^p(·) ([a, b], ?) to the Sobolev type space L^α,p(·) ([a, b], ?) of fractional smoothness. We also give formulas of closed form solutions ϕ ∈ L^p(·) of the 1st kind integral equation M0ϕ = f, known as the generalized...
On a class of Hausdorff compact and GSG Banach spaces
On a class of nonlinear ellipticequations in Hilbert spaces
We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.
On a class of operators on Orlicz spaces
On a Class of Retarded Partial Differential Equations.
On a class of universal Orlicz function spaces
On a class of vector-valued analytic functions
On a class of weighted function spaces and related pseudodifferential operators
On a converse inequality for maximal functions in Orlicz spaces
Let and , where a(s) is a positive continuous function such that and b(s) is quasi-increasing and . Then the following statements for the Hardy-Littlewood maximal function Mf(x) are equivalent: (j) there exist positive constants and such that for all ; (jj) there exist positive constants and such that for all .