Some Classes of Functions

V. V. Volchkov
Additional contact information
V. V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 2 in Integral Geometry and Convolution Equations, 2003, pp 5-11 from Springer

Abstract: Abstract Let X be a non-empty set and let $$ \mathfrak{S} $$ be a sigma algebra of subsets in X. Let μ be a measure on $$ \mathfrak{S} $$ . Assume that A is a non-empty μ-measurable subset in X. For p ∈ [1, +∞) we denote by L p (A, dμ) the collection of all μ-measurable functions f: A → ℂ such that $$ \left\| f \right\|_{L^p \left( {A,d\mu } \right)} = \left( {\int\limits_A {\left| {f\left( x \right)} \right|^p d\mu \left( x \right)} } \right)^{1/p}

Keywords: Compact Subset; Entire Function; Exponential Type; Sigma Algebra; Asymptotic Inequality (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0023-9_2

Ordering information: This item can be ordered from
http://www.springer.com/9789401000239

DOI: 10.1007/978-94-010-0023-9_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().