Optimal function spaces for the Laplace transform

被引：9

作者：

Buriankova, Eva ^{[1
]}

Edmunds, David E. y ^{[2
]}

Pick, Lubos ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 8, Czech Republic

[2] Univ Sussex, Brighton BN1 9QH, E Sussex, England

来源：

REVISTA MATEMATICA COMPLUTENSE | 2017年 / 30卷 / 03期

关键词：

Laplace transform; Rearrangement-invariant spaces; Optimal domain; Optimal range; Lorentz spaces; REARRANGEMENT-INVARIANT SPACES; OPTIMAL SOBOLEV IMBEDDINGS; HARDYS INEQUALITY; OPERATORS;

D O I：

10.1007/s13163-017-0234-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the action of the Laplace transform on rearrangement-invariant function spaces. We focus on the optimality of the range and the domain spaces.

引用

页码：451 / 465

页数：15

共 21 条

[1] HARDYS INEQUALITY AND LAPLACE TRANSFORMS IN WEIGHTED REARRANGEMENT INVARIANT SPACES [J].

ANDERSEN, KF .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 39 (02) :295-299

[2]

[Anonymous], 2002, TRIGONOMETRIC SERIES

[3]

Bennett C., 1974, Journal of Functional Analysis, V17, P409, DOI 10.1016/0022-1236(74)90050-0

[4] ESTIMATES FOR WEAK-TYPE OPERATORS [J].

BENNETT, C .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (05) :933-935

[5] The inverse Laplace transform and analytic pseudo-differential operators [J].

Boumenir, A ;

Al-Shuaibi, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 228 (01) :16-36

[6]

Brandolini L., 1996, Colloq. Math, V71, P273, DOI DOI 10.4064/CM-71-2-273-286

[7] Higher-order Sobolev embeddings and isoperimetric inequalities [J].

Cianchi, Andrea ;

Pick, Lubos ;

Slavikova, Lenka .

ADVANCES IN MATHEMATICS, 2015, 273 :568-650

[8] Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms [J].

Edmunds, DE ;

Kerman, R ;

Pick, L .

JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 170 (02) :307-355

[9] Exact descriptions of some K and E functionals [J].

Ericsson, S .

JOURNAL OF APPROXIMATION THEORY, 1997, 90 (01) :75-87

[10]

Galdames O., 2017, B MALAYS MATH SCI SO, V40, P349

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