WEIGHTED COMPOSITION OPERATORS BETWEEN LP-SPACES

Title & Authors
WEIGHTED COMPOSITION OPERATORS BETWEEN LP-SPACES

Abstract
In this paper we will consider the weighted composition operator $\small{W=uC_{\varphi}}$ between two different $\small{L^p(X,\;\Sigma,\;\mu)}$ spaces, generated by measurable and non-singular transformations $\small{\varphi}$ from X into itself and measurable functions u on X. We characterize the functions u and transformations $\small{\varphi}$ that induce weighted composition operators between $\small{L^p-spaces}$ by using some properties of conditional expectation operator, pair $\small{(u,\;\varphi)}$ and the measure space $\small{(X,\;\Sigma,\;\mu)}$. Also, Fredholmness of these type operators will be investigated.ᘀࡠ궚䃨⨀磕ྈ肀Ѐ᠀܀䃨⨀᠀Ѐ쌛ܕ儁돐僧⨀ꣻ⨀ꣻ⨀儈돀룡⨀堘�⨀냑ʗ⨀⤈돐偦඗⨀偦඗⨀唀䩁䭏㈰〵〲㘳㜱㜱㠶㠀
Keywords
weighted composition operator;conditional expectation;multiplication operator;Fredholm operator;
Language
English
Cited by
1.
WEIGHTED COMPOSITION OPERATORS ON LORENTZ SPACES,;;;

대한수학회보, 2007. vol.44. 4, pp.701-708
1.
Basic properties of multiplication and composition operators between distinct Orlicz spaces, Revista Matemática Complutense, 2017, 30, 2, 335
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