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WEIGHTED LORENTZ SPACES: SHARP MIXED Ap − A∞ ESTIMATE FOR MAXIMAL FUNCTIONS

Accomazzo, N.; Duoandikoetxea, J.; Nieraeth, Z.; Ombrosi, S.; Pérez, C. (2023-01-01)

We prove the sharp mixed Ap − A∞ weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely 11 ∥M∥ p,q ≲p,q,n [w]p [σ]min(p,q) , L (w) Ap A∞ 1 where σ = w 1−p . Our met...

SELF-IMPROVING POINCARE ́-SOBOLEV TYPE FUNCTIONALS IN PRODUCT SPACES

Pérez, C.; Cejas, M.E.; Mosquera, C.; Rela, E. (2021-01-01)

In this paper we give a geometric condition which ensures that (q,p)-Poincar ́e-Sobolev inequalities are implied from generalized (1, 1)-Poincar ́e inequalities related to L1 norms in the context of product spaces. The conce...

AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE

Sousa, M.; Chirre, A.; Dimitrov, D.K.; Quesada-Herrera, E. (2024-01-01)

We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carath ́eodory–Fej ́er– Tura ́n problem. The first variation imposes the additional requirement that the ...

ON PAULI PAIRS AND FOURIER UNIQUENESS PROBLEMS

Sousa, M.; Ramos, J.P. (2024-01-01)

We investigate the concept of Pauli pairs and a discrete counterpart to it. In partic- ular, we make substantial progress on the question of when a discrete Pauli pair is automatically a classical Pauli pair. Effectively, i...