The spaces 338-01338-01338-01of parabolic potentials

V. A. NOGIN; B. S. RUBIN

doi:10.1007/BF01909436

The spaces 338-01338-01338-01of parabolic potentials

V. A. NOGIN^*
, B. S. RUBIN

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Anisotropic Lebesgue spaces[Figure not available: see fulltext.] which are closely connected with Jones-Sampson classes of parabolic potentials are introduced. These spaces are described in terms of partial Riesz derivatives and partial Riesz potentials. Some applications of this description are given (multipliers in {Mathematical expression}, identification with Sobolev-type spaces for α=1, 2, 3, h.).

Original language	English
Pages (from-to)	321-338
Number of pages	18
Journal	Analysis Mathematica
Volume	13
Issue number	4
DOIs	https://doi.org/10.1007/BF01909436
State	Published - Dec 1987
Externally published	Yes

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10.1007/BF01909436

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abstract = "Anisotropic Lebesgue spaces[Figure not available: see fulltext.] which are closely connected with Jones-Sampson classes of parabolic potentials are introduced. These spaces are described in terms of partial Riesz derivatives and partial Riesz potentials. Some applications of this description are given (multipliers in \{Mathematical expression\}, identification with Sobolev-type spaces for α=1, 2, 3, h.).",

author = "NOGIN, \{V. A.\} and RUBIN, \{B. S.\}",

year = "1987",

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AB - Anisotropic Lebesgue spaces[Figure not available: see fulltext.] which are closely connected with Jones-Sampson classes of parabolic potentials are introduced. These spaces are described in terms of partial Riesz derivatives and partial Riesz potentials. Some applications of this description are given (multipliers in {Mathematical expression}, identification with Sobolev-type spaces for α=1, 2, 3, h.).

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JO - Analysis Mathematica

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The spaces 338-01338-01338-01of parabolic potentials

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