weighted integrability
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scholarly journals Weighted integrability of polyharmonic functions in the higher-dimensional case

2021 ◽  
Vol 14 (7) ◽  
pp. 2047-2068
Author(s):  
Congwen Liu ◽  
Antti Perälä ◽  
Jiajia Si
Keyword(s):  
Dimensional Case ◽  
Polyharmonic Functions ◽  
Higher Dimensional ◽  
Weighted Integrability

Weighted Integrability of $$p$$-Adic Fourier Transform

2020 ◽  
Vol 12 (3) ◽  
pp. 203-209
Author(s):  
Boris I. Golubov ◽  
Sergey S. Volosivets
Keyword(s):  
Fourier Transform ◽  
Weighted Integrability

scholarly journals On weighted integrability of functions defined by trigonometric series with p-bounded variation coefficients

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Bogdan Szal ◽  
Maciej Kubiak
Keyword(s):  
Trigonometric Series ◽  
Bounded Variation ◽  
Necessary Condition ◽  
Integrability Of Functions ◽  
Sufficient And Necessary Condition ◽  
Weighted Integrability

Abstract In this paper we introduce new classes of p-bounded variation sequences and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients belonging to these classes. This is a generalization of the results obtained by the first author [J. Inequal. Appl. 2010:1–19, 2010] and Dyachenko and Tikhonov [Stud. Math. 193(3):285–306, 2009].

On weighted integrability of double sine series

2019 ◽  
Vol 472 (2) ◽  
pp. 1581-1603
Author(s):  
Krzysztof Duzinkiewicz ◽  
Bogdan Szal
Keyword(s):  
Sine Series ◽  
Weighted Integrability

scholarly journals Weighted integrability of polyharmonic functions

2014 ◽  
Vol 264 ◽  
pp. 464-505 ◽  
Author(s):  
Alexander Borichev ◽  
Haakan Hedenmalm
Keyword(s):  
Polyharmonic Functions ◽  
Weighted Integrability
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