TWO-DIMENSIONAL INTEGRAL H-TRANSFORM IN WEIGHTED SPACES OF SUMMABLE FUNCTIONS
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Abstract
Two-dimensional integral H-transform in spaces of integrable functions 
has been studied. Conditions for the boundedness and one-to-one action of the operator of such a transform from one - space to another have been obtained, an analogue of the formula for integration by parts has been proven, and various integral representations have been established for the transformation under consideration. The results of the study generalize those previously obtained for the corresponding one-dimensional transform.
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References
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