M. R. JABBARZADEH

8085

Some Remarks on the Lp - Lq Boundedness of uCj

In this paper we will consider the weighted composition operators between two different Lp-spaces and then we characterize the functions u and transformations j that induce weighted composition operator uCj between Lp(X, S, m)-spaces by using some properties of conditional expectation operator, pair (u, j) and the measure space (X, S, m).

Anahtar Kelimeler:

Weighted composition operator, conditional expectation, multiplication operator

Some Remarks on the Lp - Lq Boundedness of uCj

In this paper we will consider the weighted composition operators between two different Lp-spaces and then we characterize the functions u and transformations j that induce weighted composition operator uCj between Lp(X, S, m)-spaces by using some properties of conditional expectation operator, pair (u, j) and the measure space (X, S, m).

Keywords:

Weighted composition operator, conditional expectation, multiplication operator,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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