Zap. Nauchn. Sem. LOMI, 1972, Volume 30

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1972, Volume 30

Contents

Investigations on linear operators and function theory. Part III

	Interpolation by power series that converge uniformly in the unit disc S. A. Vinogradov	5
	The factorization of absolutely convergent Taylor series and Fourier integrals V. P. Gurarii	15
	An operator calculus based on the Cauchy–Green formula E. M. Dyn'kin	33
	Local estimates of the first derivatives of the solutions of second order quasilinear elliptic equations, and their application to Liouville type theorems A. V. Ivanov	40
	Die Funktionalräume $\mathcal L^{\lambda,a,b}_{r,p,\theta}(G)$ V. P. Il'in	51
	On Beurling's theorem on the minimum principle for positive harmonic functions V. G. Maz'ya	76
	Approximation in the mean by harmonic functions V. G. Maz'ya, V. P. Havin	91
	A criterion for weak invertibility in spaces of analytic functions that are defined by growth conditions N. K. Nikol'skii	106
	Isometric operators in $L^p$-spaces of analytic and harmonic functions A. I. Plotkin	130
	An example of a Lipschitzian function of selfadjoint operators that yields a nonnuclear increase under a nuclear perturbation J. B. Farforovskaja	146

Short communications
	Zeros of analytic functions with a derivative in $H^1$ S. A. Vinogradov, N. A. Shirokov	154
	The growth of an analytic function near its set of singular points E. M. Dyn'kin	158
	Quasilinear elliptic equations of generalized genus $g$ A. V. Ivanov	161
	A remark on canonical factorization in certain spaces of analytic functions V. È. Katsnelson	163
	The embedding of free Boolean algebras in complete ones S. V. Kislyakov	165
	Interpolation by analytic functions that are smooth up to the boundary A. M. Kotochigov	167
	The sharpness of a certain uniqueness theorem B. S. Pavlov, M. G. Suturin	170
	An algebra of analytic functions continuous on the sphere with a perfect set of singularities, and polynomial approximation on thick compacta in $\mathbb C^n$ V. N. Senichkin	172
	The differential properties of weak solutions of quasilinear elliptic equations V. A. Solonnikov	174
	Paley singularities of power series S. V. Khrushchev	176
	Обобщение теоремы Литтлвуда–Пэли N. A. Shirokov	179