Maximal functions,Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups |
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| Authors: | M Avdispahić N Memić F Weisz |
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| Institution: | 1. Department of Mathematics, University of Sarajevo, Zmaja od Bosne 33-35, Sarajevo, Bosnia and Herzegovina;2. Department of Numerical Analysis, Eötvös L. University, H-1117 Budapest, Pázmány P. sétány 1/C., Hungary |
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| Abstract: | We consider relations between various existing concepts of Hardy spaces on Vilenkin groups. The problem of an appropriate Fourier multiplier theorem for unbounded Vilenkin groups is revisited and the conditions made more precise under which such a theorem is established. Theorem 3.1 from Avdispahi? and Memi? (2010) 1] is rectified. |
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