Weighted Hardy and Cesàro operators on Heisenberg group and their norms. Issue 12 (2nd December 2017)

• Record Type: Journal Article
• Authors: Volosivets, S. S.
• Is Part Of: Integral transforms and special functions. Volume 28:Issue 12(2017)
• Page Start: 940
• Page End: 952
• Publication Date: 2017-12-02
• Subjects: Weighted Hardy operator -- weighted Cesàro operator -- Heisenberg group -- Morrey space -- Herz space -- BLO space; 43A15 -- 43A80 -- 26D15 -- 22E25; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2017.1392946
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: For weighted Hardy and Cesàro operators on Heisenberg groupH n, we give the exact values for its norms in Morrey space, its central variant andB L O ( H n ) . Also we prove the sharp two-sided estimate for its norm in Herz space. These statements are analogues of results due to Z.W.Fu and S.Z.Lu (Morrey and Herz spaces), S.S.Volosivets ( BLO space) and generalize previous result concerningL q ( H n ) space by Chu et al.