Titlebook: Investigations in Linear Operators and Function Theory; Part I N. K. Nikol’skii Book 1972 Springer Science+Business Media New York 1972

不連貫

stress-response

Muffle

The Dirichlet Problem for Second-Order Quasi-Linear Nonuniformly Elliptic Equations,We wish to investigate the following equation in the bounded domain Ω < E., n ≥ π: . in which .. Let λ(x,u,p) and Λ (x,u,p) be the smallest and largest eigenvalues of the matrix ║ A. (z,u,p)║, so that ..

蚊帳

On the Representation of Doubly Stochastic Integral Operators by Means of Disjoint Isomorphisms,A doubly stochastic integral operator is an integral operator of the form ..where k (x,y) is a negative function given on the product M =X × Y of spaces with measures (X,μ) and (Y,v), where . for almost all y ∈ Y and . for almost all x∈X.

Trigger-Point

,On Levinson’s Theorem Concerning Families of Analytic Functions,In 1938 N. Levinson [1] proved a theorem that was a far-reaching generalization of the principle of the maximum of the modulus for analytic functions..

解脫

,An Operator Calculus Based on The Cauchy—Green Formula, and the Quasi Analyticity of the Classes D(The classical Riesz-Dunford operator calculus (see, e.g., [1]) defines f (T) only for functions analytic in a neighborhood of the spectrum & (T) of the operator T. For operators with a unitary spectrum another familiar example is the calculus of Wermer [2].

FECT

,Multipliers and Divisors of Cauchy—Stieltjes Integrals,he multiplicative properties of functions g representable in U by an integral of the Cauchy—Stieltjes type: . in which M is a complex Borel measure on U. We denote the set of all such functions g by K. The set K is linear under the ordinary operations of addition of functions and multiplication of a function by a complex number.

美學(xué)

少量

Multiple Shift Operator with Simple Spectrum,e another and coincide in many important spaces (l., Orlicz, etc.). These hypotheses are closely allied with the possible realization of X by measurable functions and functions having singular measures with limiting rate of decrease of the Fourier coefficients.

Aboveboard

Nonstandard Ideals, Unicellularity, and Algebras Associated with a Shift Operator,8, 10, 11]) of the unicellularity of the weighted shift operators and its algebraic treatment. Many of the propositions proved below have been announced in [11] or the shorter communication [18], and some others are contained in [9] as well.