## Theory and Applications of Differentiable Functions of Several Variables: Collection of Papers. XI, Volume 11Sergei Mikhailovich Nikol'skii, Sergeĭ Mikhaĭlovich Nikolʹskiĭ |

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### Contents

On Hormanders theorem on Fourier multipliers | 1 |

Imbedding of Sobolev spaces on domains with the splitting flexible cone condition | 13 |

Linear summation methods for fourier series and fractional difference operators | 31 |

On sharp constants in inequalities for the norms of Intermediate derivatives on a finite interval II | 39 |

On improvement of extension operators with the help of approximation operators with preservation of boundary values | 51 |

An approximate method of conformal mapping of multiply connected polygons onto canonical domains | 57 |

An asymptotically fast aproximate method of fin finding a solution of the difference laplace equation on mesh segments | 71 |

On imbedding constructive and structural lipschitz spaces in symmetric spaces | 93 |

On an analogue of the lizorkinnikolskiI inequality for an infinite interval | 151 |

On the theory of fourier multipliers | 161 |

Limiting cases of theorems on FLpmultipliers | 177 |

Approximation by spherical functions | 195 |

Inequalities of bernsteinnikolskiI type and approximation of generalized sobolev classes | 205 |

A constructive description of traces of spaces of differentiable functions of several variables | 221 |

On polynomial traces of functions in weighted spaces | 253 |

Approximation of periodic functions of several variables by combinations of functions depending on fewer variables | 263 |

Spaces of anisotropic potentials Applications | 119 |

On the denseness of compactly supported functions in the a weighted space with a strongly degenerate weight | 133 |

On convergence in the mean of fourierjacobi series with quasimonotone coefficients | 145 |

Coercive properties of an elliptic equation with degeneration on the boundary | 273 |

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### Common terms and phrases

1988 American Mathematical absolutely continuous accuracy of 0(hp Akad anisotropic approximate solution Approximation of functions arbitrary Besov spaces bounded Classification 1985 Revision cone condition conformal mapping consider constant construct convergence Corollary corresponding d-set defined definition denote derivatives differentiable functions Dokl domain English transl equation equivalent estimate exists extension operator finite flexible cone condition follows Fourier series Fourier transform holds imbedding theorems interpolation kernel Lebesgue Lemma linear Lipschitz spaces Lp(Rn Mathematics 1987 Mathematics Subject Classification mesh segment method modulus of continuity Moscow multi-index natural number Nauk SSSR Nauka nonnegative norm notation number of operations O. V. Besov obtain open set P. I. Lizorkin parallelepiped polygon polygonal line Proc proof of Theorem real numbers REMARK right-hand side Russian S. M. Nikol'skii satisfying conditions seminorm sequence smooth functions Sobolev spaces Soviet Math space of functions Steklov Inst sufficient Suppose Trudy Mat variables zero