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conditions for integrability of operator product A,B M. We prove that AB ∈ Lp(M, τ) ⇔ AB ∈ Lp(M, τ) ⇔ AB

= 0) and generated by fractional integral operator (α> 0) on generalized Morrey spaces and proving

for the boundedness and compactness of the integral operator of the form [mathematical equation] from Lp → Lq

Three different criteria for Lp -Lq boundedness of Volterra integral operator (1.1) with locally

is modular. We establish some new properties of the L1(M, τ) space of integrable operators affiliated

.) of commuting maximal dissipative operators. To obtain such estimates, we use double operator integrals

the boundedness of the singular integral operator as well as the boundary behavior of the Cauchy type integral

operator as well as the boundary behavior of the Cauchy type integral. These results are of significance

and fractional integration are used. An operator type is obtained, the corresponding formula is derived. A

Страница 2 из 4016